Chapter 4.7, Problem 4.120TI

Philip’s doctor tells him he should add at least 1,000 more calories per day to his usual diet. Philip wants to buy protein bars that cost $1.80 each and have 140 calories and juice that costs $1.25 per bottle and have 125 calories.
He doesn’t want to spend more than $12.

(a) Write a system of inequalities that models this situation.

(b) Graph the system.

(c) Can he buy 3 protein bars and 5 bottles of juice?

(d) Can he buy 5 protein bars and 3 bottles of juice?