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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. S(t) = 801² ² +150 C a) Find S'(t). S'(t) = b) Find S(10) and S'(10). The value of S(10) rounded to the nearest hundredth is The value of S'(10) rounded to the nearest hundredth is What do the values for S(10) and S'(10) indicate? A. After 10 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 3200 DVD's per month. B. After 10 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 32 DVD's per month. C. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. O D. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. c) Use the results from part (b) to estimate the total sales after 11 months. After 11 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. S(t) = 801² ² +150 C a) Find S'(t). S'(t) = b) Find S(10) and S'(10). The value of S(10) rounded to the nearest hundredth is The value of S'(10) rounded to the nearest hundredth is What do the values for S(10) and S'(10) indicate? A. After 10 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 3200 DVD's per month. B. After 10 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 32 DVD's per month. C. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. O D. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. c) Use the results from part (b) to estimate the total sales after 11 months. After 11 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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. 80t² S(t) = +² +150 a) Find S'(t). S'(t) = b) Find S(10) and S'(10). The value of S(10) rounded to the nearest hundredth is The value of S'(10) rounded to the nearest hundredth is What do the values for S(10) and S'(10) indicate? A. After 10 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 3200 DVD's per month. B. After 10 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 32 DVD's per month. C. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. D. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. c) Use the results from part (b) to estimate the total sales after 11 months. After 11 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)
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. 80t² S(t) = +² +150 a) Find S'(t). S'(t) = b) Find S(10) and S'(10). The value of S(10) rounded to the nearest hundredth is The value of S'(10) rounded to the nearest hundredth is What do the values for S(10) and S'(10) indicate? A. After 10 months, the total sales are 38,400 DVD's and the sales are increasing at the rate of 3200 DVD's per month. B. After 10 months, the total sales are 3840 DVD's and the sales are increasing at the rate of 32 DVD's per month. C. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3.84 DVD's per month. D. After 10 months, the total sales are 32,000 DVD's and the sales are increasing at the rate of 3840 DVD's per month. c) Use the results from part (b) to estimate the total sales after 11 months. After 11 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)
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