Question

The sales of a new​ high-tech item​ (in thousands) are given by

​S(t)= 109-100e^-0.3t
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?

Answer 1

Transcribed image text: The sales of a new high-tech item (in thousands) are given by the following function, where t represents time in years. Find the rate of change of sales at each time. S(t) = 96 - 90 e -0.4 (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.)

Explanation:

Transcribed image text: The sales of a new high-tech item (in thousands) are given by the following function, where t represents time in years. Find the rate of change of sales at each time. S(t) = 96 - 90 e -0.4 (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.)