Question

A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months. S(t) = 155(7 - 9 / (6 + t)) (a) Find the average rate of change of S(t) during the first year. (b) During what month of the first year does S '(t) equal the average rate of change?

          A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months.
S(t) = 155(7 - 9 / (6 + t))
(a) Find the average rate of change of S(t) during the first year.
(b) During what month of the first year does S '(t) equal the average rate of change?

A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months.
S(t) = 155(7 - 9 / (6 + t))
(a) Find the average rate of change of S(t) during the first year.
(b) During what month of the first year does S '(t) equal the average rate of change?

Added by Alyssa D.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Sri K

06/07/2022

Step 1

Given S(t) = 155(7 - 9/2 + t), we need to find the slope of the line connecting S(1) and S(12). S(1) = 155(7 - 9/2 + 1) = 620 S(12) = 155(7 - 9/2 + 12) = 985.5 Average rate of change = (S(12) - S(1)) / (12 - 1) = (985.5 - 620) / 11 = 35.5 Show more…

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A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months. S(t) = 155(7 - 9 / (6 + t)) (a) Find the average rate of change of S(t) during the first year. (b) During what month of the first year does S '(t) equal the average rate of change?