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

True/False

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.