If the cost C (in dollars) of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by ,

Find the rate of change of C with respect to p.

Question

If the cost C (in dollars) of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by ​  ,
​
Find the rate of change of C with respect to p.

Quizplus · Accepted Answer

Using the power rule of differentiation, we have:

dC/dp = (9,800e^(0.11p))/100

Simplifying further:

dC/dp = (98e^(0.11p))/10

dC/dp = 9.8e^(0.11p)

Therefore, the rate of change of C with respect to p is given by 9.8e^(0.11p), which is closest to option B (11ea984b_acb4_f1c8_9029_51755b00a98c_TB4005_11).

If the Cost C (In Dollars) of Removing P Percent