Chapter 4.7, Problem 322E

In the following exercises, translate to a system of inequalities and solve.

322. Jocelyn is pregnant and so she needs to eat at least 500 more calories a day than usual. When buying groceries one day with a budget of $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have 150 calories each. The bananas cost $0.35 each and the granola bars cost $2.50 each.

(a) Write a system of inequalities to model this situation.

(b) Graph the system.

(c) Could she buy 5 bananas and 6 granola bars?

(d) Could she buy 3 bananas and 4 granola bars?