A new health club has just opened. Statistics suggest that the fraction of clients who will still be attending the club t months after their initial visit is given by $f ( t ) = e ^ { - 0.08 t }$ . The club initially accepts 1,000 people for membership and plans to accept new members at the rate of 50 per month. Approximately 680 people will be in the club 2 years from now.

Question

Quizplus · Accepted Answer

The number of people in the club after 2 years is given by the integral of the function $f(t)$ from 0 to 24, which is approximately 680.

A New Health Club Has Just Opened f(t)=e−0.08tf ( t ) = e ^ { - 0.08 t }f(t)=e−0.08t

A New Health Club Has Just Opened $f ( t ) = e ^ { - 0.08 t }$