The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.) b. The rate of change after 5 years is thousand items per year. (Round to three decimal places as needed.) c. What is happening to the rate of change of sales as time goes on? O A. First it increases, then it decreases. O B. First it decreases, then it increases. O C. It always decreases. O D. It always increases.
The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.) b. The rate of change after 5 years is thousand items per year. (Round to three decimal places as needed.) c. What is happening to the rate of change of sales as time goes on? O A. First it increases, then it decreases. O B. First it decreases, then it increases. O C. It always decreases. O D. It always increases.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 33E: DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the...
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Transcribed Image Text:The sales of a new high-tech item (in thousands) are given by
S(t) = 94 - 90 e -0.2t
where t represents time in years. Find the rate of change of sales at each time.
a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero?
a. The rate of change after 1 year is thousand items per year.
(Round to three decimal places as needed.)
b. The rate of change after 5 years is thousand items per year.
(Round to three decimal places as needed.)
c. What is happening to the rate of change of sales as time goes on?
O A. First it increases, then it decreases.
O B. First it decreases, then it increases.
OC. It always decreases.
O D. It always increases.
d. Does the rate of change of sales ever equal zero?
No
Yes
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