Some doctors use the formula ND=1.08T to relate the variables N (the number of patient appointments the doctors schedule in one day), D ( duration of each patient appointment), and T ( the total number of minutes the doctor can use to see patients inone day). (a) Solve the formula N, (b) use this result to find the number patient appointments N a doctor should make if she has 6 hours available for patients and each appointment is 15 minutes long. (round your answer to the nearest whole number).

Solution:

(a)

N = 1.08T/D

(b)

Here T = 6, D = 1/4 hr

So N = 1.08*6/(1/4) = 25.92=26

So the appointments N=26