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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 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.)

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.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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