-
Notifications
You must be signed in to change notification settings - Fork 1
/
66c37fb3-b5d8-4a85-9ff6-fe7abd10036e.html
225 lines (224 loc) · 10.4 KB
/
66c37fb3-b5d8-4a85-9ff6-fe7abd10036e.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
<!--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="99228746-fc1d-41b8-8021-dcb7ec614fb4" 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>
<!--q1a-->
<div class="os-raise-ib-pset-problem" data-content-id="c35a4cc7-b899-4f3e-96f6-3425cf6e20d2" data-problem-comparator="text" data-problem-type="input" data-solution="-143.4">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="1" type="1">
<li>A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, \(d\), of the number of days, \(t\)<em>,</em> since the shipment arrived. Here is a table showing some values of \(d\)<em>.</em><br>
<br>
<table class="os-raise-skinnytable">
<thead>
<tr>
<th scope="col">\(t\)</th>
<th scope="col">\(d(t)\)</th>
</tr>
</thead>
<tbody>
<tr>
<td>
0
</td>
<td>
2,000
</td>
</tr>
<tr>
<td>
5
</td>
<td>
1,283
</td>
</tr>
<tr>
<td>
10
</td>
<td>
823
</td>
</tr>
<tr>
<td>
15
</td>
<td>
528
</td>
</tr>
<tr>
<td>
20
</td>
<td>
338
</td>
</tr>
</tbody>
</table>
<br>
Calculate the average rate of change for the following intervals:
<br>
<br>
</li>
<ol class="os-raise-noindent" start="1" type="a">
<li>day 0 to day 5</li>
</ol>
</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 5.10.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is –143.4 decks per day. </p>
</div>
</div>
<!--1b-->
<div class="os-raise-ib-pset-problem" data-content-id="e8e769fe-91d9-4b6a-ba07-d1346e99b404" data-problem-comparator="integer" data-problem-type="input" data-solution="-38">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>day 15 to day 20</li>
</ol>
</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 5.10.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is –38 decks per day. </p>
</div>
</div>
<!--q2-->
<div class="os-raise-ib-pset-problem" data-content-id="8af1eca5-26aa-4e3e-a751-2fbe46bf3a21" data-problem-type="multiselect" data-solution='["\\(b > 1\\)", "The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.", "\\(a > 0\\)"]' data-solution-options='["\\(b > 1\\)", "\\(b < 1\\)", "The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.", "The average rate of change from year 0 to year 5 is greater than the average rate of change from year 10 to year 15.", "\\(a > 0\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="1">
<li>A study was conducted to analyze the effects on deer population in a particular area. Let \(f\) be an exponential function that gives the population of deer \(t\) years after the study began.<br>
If \(f(t)=a \cdot b^t\) and the population is increasing, <strong>select three</strong> statements that must be true.</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 activities 5.10.1–5.10.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is A, C, E.
</p>
</div>
</div>
<!--3a-->
<div class="os-raise-ib-pset-problem" data-content-id="f850d543-3061-41a4-9114-0324b7017a90" data-problem-type="dropdown" data-retry-limit="1" data-solution="No" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="1">
<li>Function \(f\) models the population, in thousands, of a city \(t\) years after 1930.<br>
<img alt="Graph of a function on a grid." src="https://k12.openstax.org/contents/raise/resources/cc05abb75236376b7d1774698260940fb9b0c5b9">
<ol class="os-raise-noindent" type="a">
<li>The average rate of change of \(f\) from \(t=0\) to \(t=70\) is approximately 14 thousand people per year.
Is this value a good way to describe the population change of the city over that time period? </li>
</ol>
</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 5.10.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is no. Near 1930, the average rate of change was much less than 14 thousand people per year. Approaching the year 2000, the average rate of change was much greater than 14 thousand people per year.
</p>
</div>
</div>
<!--3b-->
<div class="os-raise-ib-pset-problem" data-content-id="0ebf5e2b-418d-4722-88e3-a4f74ac76eb9" data-problem-type="dropdown" data-retry-limit="1" data-solution="less than" data-solution-options='["greater than", "less than"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>The rate of change between years 1940 and 1950 is greater than/less than the rate of change between years 1960 and 1970. </li>
</ol>
</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 5.10.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is less than. The rate of change increases as the time increases. </p>
</div>
</div>
<!--Multiple Selection Starts here-->
<div class="os-raise-ib-pset-problem" data-content-id="afb5e7e2-0d1f-4b4e-831d-e2385f6acf77" data-problem-type="multiselect" data-solution='["\\(0 \\leq w \\leq 2\\)", "\\(5 \\leq w \\leq 7\\)"]' data-solution-options='["\\(0 \\leq w \\leq 2\\)", "\\(0 \\leq w \\leq 7\\)", "\\(5 \\leq w \\leq 7\\)", "\\(5 \\leq w \\leq 10\\)", "\\(0 \\leq w \\leq 10\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4" type="1">
<li>The function, \(f\), gives the number of copies of a book that have sold \(w\) weeks after it was published. The equation \(f(w)=500 \cdot 2^w\) defines this function. <strong>Select two</strong> domains for which the average rate of change could be a good measure for the number of books sold. </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 activities 5.10.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is A, C. </p>
</div>
</div>
<!--text input-->
<div class="os-raise-ib-pset-problem" data-content-id="15f92bae-3f58-40c2-9e38-a85a6f0c7842" data-problem-comparator="text" data-problem-type="input" data-solution="-115000">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5" type="1">
<li> The moth population over 10 weeks is graphed below. <br>
<img src="https://k12.openstax.org/contents/raise/resources/b4f87d5892b899b11c44697eeb64c78983333dfd" width="500">
<ol class="os-raise-noindent" type="a">
<li>After 4 weeks, the population was 40 thousand. What was the average rate of change from the start to the 4th week? Do not enter commas in your answer.</li>
</ol>
</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 5.10.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is –115,000.
</p>
</div>
</div>
<!--5b-->
<div class="os-raise-ib-pset-problem" data-content-id="a311646d-b68d-4581-8f58-5b937c8bcf6c" data-problem-type="dropdown" data-retry-limit="1" data-solution="greater than" data-solution-options='["greater than", "less than"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>The rate of change between weeks 1 and 2 is greater than/less than the rate of change between weeks 3 and 4. </li>
</ol>
</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 5.10.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is greater than. The rate of change decreases as the time increases. </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>