-
Notifications
You must be signed in to change notification settings - Fork 1
/
1caaf78e-ca6d-4aff-ad7c-47d87d426b7b.html
333 lines (330 loc) · 18.3 KB
/
1caaf78e-ca6d-4aff-ad7c-47d87d426b7b.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
<!--Do not edit this div tag. It must surround the interaction block-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="21b5344b-350c-47b5-8ef7-55067c05dc45" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<p>Complete the following questions to practice the skills you have learned in this lesson.</p>
<!--Multiple Choice Starts here-->
<div class="os-raise-ib-pset-problem" data-content-id="315fcda6-6840-450e-b38b-54a5191793d4" data-problem-type="multiselect" data-solution='["\\(300 \\cdot \\frac34\\)", "\\(300 \\cdot (1-\\frac{1}{4})\\)", "\\(300-\\frac{1}{4} \\cdot 300\\)" ]' data-solution-options='["\\(300 \\cdot \\frac14\\)", "\\(300 \\cdot \\frac34\\)", "\\(300 \\cdot (1-\\frac{1}{4})\\)", "\\(300 -\\frac14\\)","\\(300-\\frac{1}{4} \\cdot 300\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="1" type="1">
<li>A new bicycle sells for $300. It is on sale for \(\frac14\) off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p><span id="docs-internal-guid-f3a062d7-7fff-b8d1-67d1-c88868a69e34">Try again. Revisit activity 5.5.2.</span></p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p dir="ltr" id="docs-internal-guid-93d08b40-7fff-e883-6f03-7c9557797c1a">The correct answers are \(300 \cdot
\frac34\), \(300 \cdot (1-\frac{1}{4})\), and \(300-\frac{1}{4} \cdot 300\). </p>
</div>
</div>
<!--2a-->
<div class="os-raise-ib-pset-problem" data-content-id="4e31d0c7-cb23-41c0-984d-f8268846c884" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The name Jada has four letters." data-solution-options="["The name Jada has four letters.", "Jada is four years old.", "Jada's last name has four letters.", "Jada's favorite number is four."]">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" type="1">
<li>Describe the meaning of \(G(Jada) = 4\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The name Jada has four letters.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Consider the details associated with Jada's name and its representation in the function \(G\).</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: The name Jada has four letters.</p>
</div>
</div>
<!--2b-->
<div class="os-raise-ib-pset-problem" data-content-id="13f87be0-8a80-417a-9f62-110463a8b249" data-problem-comparator="integer" data-problem-type="input" data-solution="600">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>The value of the computer, in dollars, after 1 year. <br></li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 600.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 5.5.1 - 5.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 600.
</p>
</div>
</div>
<!--2c-->
<div class="os-raise-ib-pset-problem" data-content-id="c445b5b4-32a6-42c8-9bad-d67e1e2d023a" data-problem-comparator="integer" data-problem-type="input" data-solution="450">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>The value of the computer, in dollars, after 2 years. <br></li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 450.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 5.5.1 - 5.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 450.
</p>
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="58ae276d-f55b-4e60-81ba-accf3ce2b944" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(800 \cdot (\frac{3}{4}) ^ t\)" data-solution-options='["\\(800 \\cdot \\frac{1}{4} \\cdot t\\)", "\\(800 \\cdot \\frac{3}{4} \\cdot t\\)", "\\(800 \\cdot (\\frac{1}{4})^ t \\)", "\\(800 \\cdot (\\frac{3}{4}) ^ t\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="1">
<li>A computer costs $800. It loses \(\frac14\) of its value every year after it is purchased. Which of the
following expressions would represent the value of the computer, in dollars, after \(t\) years?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(800 \cdot \frac{3}{4}^t\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 5.5.1 -5.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(800 \cdot (\frac{3}{4})^t\).
</p>
</div>
</div>
<!--4-->
<div class="os-raise-ib-pset-problem" data-content-id="1094ca3f-7329-4662-8499-099b5c4151a2" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="189.84; After 5 years, the computer’s value is $189.84." data-solution-options='["189.84; After 5 years, the computer’s value is $189.84.", "142.38; After 5 years, the computer’s value is $142.38.", "3,000; After 5 years, the computer’s value is $3,000.", "253.13; After 5 years, the computer’s value is $253.13."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4" type="1">
<li>Use your equation from question 3 to find \(v\) when \(t\) is 5. What does this value of \(v\) mean? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p> Correct! 189.84, After 5 years the computer’s value is $189.84.
</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is a. 189.84, After 5 years the computer’s value is $189.84. </p>
</div>
</div>
<!--5a-->
<div class="os-raise-ib-pset-problem" data-content-id="d80f8315-e291-4120-a412-6bfeaa6dca0e" data-problem-comparator="integer" data-problem-type="input" data-solution="90">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>A piece of paper is folded into thirds multiple times. The area, \(A\), of the piece of paper in square
inches, after \(n\) folds, is \(A=90 \cdot (\frac{1}{3})^n\).<br><br>
<ol class="os-raise-noindent" type="a">
<li>
What is the value of \(A\) when \(n=0\)? </li>
</ol>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p> Correct! 90. That is the area of the paper in square inches before it is folded.
</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 90. That is the area of the paper in square inches before it is folded. </p>
</div>
</div>
<!--5b-->
<div class="os-raise-ib-pset-problem" data-content-id="81b511ca-5f03-4c52-8065-2b024384738b" data-problem-comparator="integer" data-problem-type="input" data-solution="5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>
How many folds are needed before the area is less than 1 square inch? </li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 5.
</p>
</div>
</div>
<!--6-->
<div class="os-raise-ib-pset-problem" data-content-id="32c9b4e3-f7b5-4014-9bed-935b8993e174" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The area before the paper is folded" data-solution-options='["The area after the paper is folded ", "The area before the paper is folded", "The number of folds to have an area of 0", "The growth factor of the situation "]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6" type="1">
<li>The area of another piece of paper in square inches, after \(n\) folds, is given by \(A=100 \cdot
(\frac{1}{2})^n\). What does the number 100 mean in this situation? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The area before the paper is folded. The a value in y=abx is always the initial value</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: The area before the paper is folded. </p>
</div>
</div>
<!--7-->
<div class="os-raise-ib-pset-problem" data-content-id="23d280d7-65f6-4046-9238-bb6ca7d2d349" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The growth factor of the situation" data-solution-options='["The area of the paper before it is folded ", "The area of the paper after 1 fold", "The growth factor of the situation", "The initial value of the situation "]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>The area of another piece of paper in square inches, after \(n\) folds, is given by \(A=100 \cdot
(\frac{1}{2})^n\). What does the number \(\frac12\) mean in this situation?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The growth factor of the situation.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: The growth factor of the situation. </p>
</div>
</div>
<!--8-->
<div class="os-raise-ib-pset-problem" data-content-id="d2d1c923-8e73-4821-9a49-dff891107b2a" data-problem-type="multiselect" data-solution='["\\(13 + 2 + 2+ 2\\)", "\\( 13 + 6\\)", "\\( 19\\)"]' data-solution-options='["\\(13 + 2 + 2+ 2\\)", "\\(13 \\cdot 2 \\cdot 2 \\cdot 2\\)", "\\( 13 \\cdot 8\\)", "\\( 13 + 6\\)", "\\( 19\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8" type="1">
<li>Lin has 13 mystery novels. Each month, she gets 2 more. <strong>S</strong><strong>elect all</strong>
expressions that represent the total number of mystery novels Lin has after 3 months.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 13 + 2 + 2+ 2, 13 + 6, 19.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.1.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are 13 + 2 + 2+ 2, 13 + 6, 19.
</p>
</div>
</div>
<!--q9-->
<div class="os-raise-ib-pset-problem" data-content-id="288b6740-1876-48df-8dca-a56367467de6" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\( (2, 640)\)" data-solution-options='["\\((0, 1000)\\)", "\\( (2, 640)\\)", "\\( (\\frac{4}{5}, 1000)\\)", "\\( (1, 640)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>The graph shows the amount of a chemical in a water sample. It is decreasing exponentially.
<p><img alt="Graph of a function on grid, origin O. Horizontal axis, time, hours, from 0 to 8 by 1's. Vertical axis, chemical, milligrams, from 0 to 1,200 by 200's. Plotted coordinates as follows: 0 comma 1,000, 1 comma 800. The next three points labeled A, B and C, with 4 more points plotted." class="img-fluid atto_image_button_text-bottom" height="237" src="https://k12.openstax.org/contents/raise/resources/76ce25d2655e5f9a1aba167d1b970c3a1f3a5e67" width="332"></p>
</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
What are the coordinates of point \(A\)?
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! (2, 640).</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is (2, 640).
</p>
</div>
</div>
<!--q9b-->
<div class="os-raise-ib-pset-problem" data-content-id="3f0a3962-d731-4dc9-baa0-de9dd06f1046" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((3, 512) \)" data-solution-options='["\\((2, 640)\\)", "\\((3, 512) \\)", "\\((4, 410) \\)", "\\((\\frac{4}{5}, 512) \\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>What are the coordinates of point \(B\)? </li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! (3, 512).</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is (3, 512). </p>
</div>
</div>
<!--q9c-->
<div class="os-raise-ib-pset-problem" data-content-id="da68b5f8-880b-4df0-b8f6-95983e982cfb" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(C = 1000(\frac{4}{5})^x\)" data-solution-options='["\\(C =1000+ \\frac{4}{5}x\\)", "\\(C = 1000 \\cdot \\frac{4}{5} \\cdot x\\)", "\\(C = 1000(\\frac{4}{5})^x\\)", "\\(C = 1000+ \\frac{4}{5}+x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>Which of the following equations would represent the chemical, \(C\), after time, \(t\), from the graph?
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(C = 1000(\frac{4}{5})^x\).</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(C = 1000(\frac{4}{5})^x\). </p>
</div>
</div>
<!--10-->
<div class="os-raise-ib-pset-problem" data-content-id="9dd82cf6-bff3-43c6-8b0a-5b572baf32ba" data-problem-type="multiselect" data-solution='["The amount of the chemical in the water sample is decreasing exponentially.", "When it was first measured, there were 2,000 mg of the chemical in the water sample."]' data-solution-options='["The amount of the chemical in the water sample is decreasing exponentially.", "The amount of the chemical in the water sample is not decreasing exponentially.", "It is not possible to tell for certain whether the amount of the chemical is decreasing exponentially.", "When it was first measured, there were 2,000 mg of the chemical in the water sample.", "After 4 hours, there were 200 mg of the chemical in the water."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>The graph shows the amount of a chemical in a water sample at different times after it was first measured.
<strong>Select all </strong>statements that are true.
<p><img alt="Graph of a function on grid, origin O. Horizontal axis, time, hours, from 0 to 6 by 0 point 5's. Vertical axis, chemical, milligrams, from 0 to 2,400 by 400's. Plotted coordinates as follows: 0 comma 2,000, 1 comma 1,000, 2 comma 500, 3 comma 250, 4 comma 125." height="189" src="https://k12.openstax.org/contents/raise/resources/ee1fba6e0c32ecada95e1b6b5f0718845179e0d3" width="332"></p>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are a and d.
</p>
</div>
</div>
<!--q11-->
<div class="os-raise-ib-pset-problem" data-content-id="553cc311-8ae5-4f89-8b67-f436cc999aa8" data-problem-type="multiselect" data-solution='["\\(7 \\cdot 2^4\\)", "\\(7 \\cdot 2 \\cdot 2 \\cdot 2 \\cdot 2\\)"]' data-solution-options='["\\(7+4 \\cdot 2\\)", "\\(7 \\cdot 2^4\\)", "\\(2+7^4\\)", "\\(7 \\cdot 2 \\cdot 2 \\cdot 2 \\cdot 2\\)", "\\(7 \\cdot 2 \\cdot 4\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="11">
<li>The height of a plant in mm is 7. It doubles each week. <strong>Select two</strong> expressions that
represent the height of the plant, in mm, after 4 weeks.
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \( 7 \cdot 2^4\), \( 7 \cdot 2 \cdot 2 \cdot 2 \cdot 2\). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 5.5.1.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \(7 \cdot 2^4\) and \( 7 \cdot 2 \cdot 2 \cdot 2 \cdot 2\).
</p>
</div>
</div>
<!--Do not edit below this line-->
<div class="os-raise-ib-pset-correct-response"> </div>
<div class="os-raise-ib-pset-encourage-response"> </div>
</div>