Concept explainers
Spread of a rumor. The rumor “People who study math all get scholarship” spreads across a college campus. Data in the following table show the number of students N who have heard the rumor after time t, in days.
Time, t (in days) | Number, N, Who Heard the Rumor |
1 | 1 |
2 | 2 |
3 | 4 |
4 | 7 |
5 | 12 |
6 | 18 |
7 | 24 |
8 | 26 |
9 | 28 |
10 | 28 |
11 | 29 |
12 | 30 |
a. Use REGRESSION to fit a logistic equation,
to the data.
b. Estimate the limiting value of the function. At most, how many students will hear the rumor?
c. Graph the function.
d. Find the rate of change,
e. Find
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Calculus and Its Applications (11th Edition)
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