Question

The interval​ time, I, in​ minutes, between appointments is related to total number of minutes T that a doctor spends with patients in a​ day, and the number of appointments​ N, by the​ formula: I
equals
=1.08 ​(T/N).

If a doctor wants an interval time of
16
16 minutes and wants to see
21
21 appointments per​ day, how many hours a day should the doctor be prepared to spend with​ patients?

Answer 1

Answer:

5.2 hours to the nearest tenth.

Step-by-step explanation:

l = 1.08(T/N)

Substituting the given values:

16 = 1.08(T/21)

T/21 = 16/1.08

T = 21 * (16/1.08)

= 311 minutes

=   5.2 hours

Answer 2

Answer:

Approximately 5.19 hours.

Step-by-step explanation:

The question is asking that you solve for T (the amount of time spent with patients in a day). To do so, simply input the values which it has given you for your variables. We can substitute 16 for I as that is the doctor's preferred interval time and we can substitute 21 for N as that is the amount of appointments the doctors wishes to have per day.

$16=1.08(\frac{T}{21} )$

To solve, start by multiplying both sides by 21.

$336=1.08T$

Next, divide both sides by 1.08.

$311.11=T$

Your answer comes out to 311.11 minutes. The question is asking for this to be translated into hours per day, which equates to approximately 5.19 hours.