Graphing Systems of Linear Inequalities · Exercise 43

Translate to a system of inequalities and solve.

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.
ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Could she buy 5 bananas and 6 granola bars?
ⓓ Could she buy 3 bananas and 4 granola bars?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Intermediate Algebra 2e · §4.7 Graphing Systems of Linear Inequalities · Exercise 43