Question

Really stuck on this question, could someone lend me a hand?

As a receptionist for a hospital, one of Elizabeth’s tasks is to schedule appointments. She allots 60 minutes for the first visit and 30 minutes for a follow-up. The doctor cannot perform more than seven follow-ups per day. The hospital has eight hours available for appointments. The first visit costs $120 and the follow-up costs $70. Let x be the number of first visit and y be the number of follow-ups.

Answer 1

Graph the system of inequalities showing the feasible region to represent the number of first visits and the number of follow-ups that can be performed.

Answer 2

Well one of the lines will be a horizontal line through y=7 since the doctors are limited to 7 followups.

The other line should tell us that the number hours spent on first visits plus the number of hours spent on followups equals 8 work hours.

x + .5y = 8

Rearranging we get this:

y = -2x + 16 So this line will cross the y axis at 16 and the x axis at 8.

So it looks like a is the correct graph.