A county mental health clinic has just opened. The clinic initially accepts 300 people for treatment and plans to accept new patients at the rate of 10 per month. Let f(t) denote the fraction of people receiving treatment continuously for at least t days. For the first 60 days, records are kept and these values of f(t) are obtained:

Use this information together with the trapezoidal rule to estimate the number of patients in the clinic at the end of the 60-day period.

Transcribed Image Text:

1 (days) 0 5 3 f(1) 4 1 10.3-5 512 25 30 35 3 1 3 10 5 10 15 20 6 40 45 50 55 60 1 1 1 1 1 7 9 12 15 20