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 months since the release of the DVD. Use the formula to answer the questions. 801? S(t) = 2 + 100 S'(t) = (? + 100) ? b) Find S(20) and S'(20). The value of S(20) rounded to the nearest hundredth is 64 . The value of S'(20) rounded to the nearest hundredth is 1.28. What do the values for S(20) and S'(20) indicate? A. After 20 months, the total sales are 12,800 DVD's and the sales are increasing at the rate of 6400 DVD's per month. B. After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1280 DVD's per month. C. After 20 months, the total sales are 1280 DVD's and the sales are increasing at the rate of 64 DVD's per month. O D. After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1.28 DVD's per month. c) Use the results from part (b) to estimate the total sales after 21 months. After 21 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)
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 months since the release of the DVD. Use the formula to answer the questions. 801? S(t) = 2 + 100 S'(t) = (? + 100) ? b) Find S(20) and S'(20). The value of S(20) rounded to the nearest hundredth is 64 . The value of S'(20) rounded to the nearest hundredth is 1.28. What do the values for S(20) and S'(20) indicate? A. After 20 months, the total sales are 12,800 DVD's and the sales are increasing at the rate of 6400 DVD's per month. B. After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1280 DVD's per month. C. After 20 months, the total sales are 1280 DVD's and the sales are increasing at the rate of 64 DVD's per month. O D. After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1.28 DVD's per month. c) Use the results from part (b) to estimate the total sales after 21 months. After 21 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Question
Transcribed Image Text: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 months since the release of the DVD. Use
the formula to answer the questions.
801?
S(t):
2 + 100
S'(t) =
(? + 100)2
b) Find S(20) and S'(20).
The value of S(20) rounded to the nearest hundredth is 64 .
The value of S'(20) rounded to the nearest hundredth is 1.28 .
What do the values for S(20) and S'(20) indicate?
A. After 20 months, the total sales are 12,800 DVD's and the sales are increasing at the rate of 6400 DVD's per month.
B. After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1280 DVD's
per
month.
C. After 20 months, the total sales are 1280 DVD's and the sales are increasing at the rate of 64 DVD's per month.
After 20 months, the total sales are 64,000 DVD's and the sales are increasing at the rate of 1.28 DVD's per month.
c) Use the results from part (b) to estimate the total sales after 21 months.
After 21 months, the total sales will be approximately how many DVD's?
(Round to the nearest whole number.)
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