The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of month since the release of the DVD. Use the formula to answer the questions. 601? S(t) = + 100 ... a) Find S'(t). S'(t) = b) Find S(5) and S'(5). The value of S(5) rounded to the nearest hundredth is The value of S'(5) rounded to the nearest hundredth is What do the values for S(5) and S'(5) indicate? A. After 5 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 1200 DVD's per month. B. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. C. After 5 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 12 DVD's per month. D. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. c) Use the results from part (b) to estimate the total sales after 6 months. After 6 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula wheret is the number of month
since the release of the DVD. Use the formula to answer the questions.
60t?
S(t) =
t + 100
...
a) Find S'(t).
S'(t) =
b) Find S(5) and S'(5).
The value of S(5) rounded to the nearest hundredth is
The value of S'(5) rounded to the nearest hundredth is
What do the values for S(5) and S'(5) indicate?
A. After 5 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 1200 DVD's per month.
B. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month.
C. After 5 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 12 DVD's per month.
D. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month.
c) Use the results from part (b) to estimate the total sales after 6 months.
After 6 months, the total sales will be approximately how many DVD's?
(Round to the nearest whole number.)
O O
Transcribed Image Text:The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula wheret is the number of month since the release of the DVD. Use the formula to answer the questions. 60t? S(t) = t + 100 ... a) Find S'(t). S'(t) = b) Find S(5) and S'(5). The value of S(5) rounded to the nearest hundredth is The value of S'(5) rounded to the nearest hundredth is What do the values for S(5) and S'(5) indicate? A. After 5 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 1200 DVD's per month. B. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. C. After 5 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 12 DVD's per month. D. After 5 months, the total sales are 12,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. c) Use the results from part (b) to estimate the total sales after 6 months. After 6 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.) O O
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