Graphing Systems of Linear Inequalities · Exercise 46

Translate to a system of inequalities and solve.

Mark is attempting to build muscle mass and so he needs to eat at least an additional 80 grams of protein a day. A bottle of protein water costs $3.20 and a protein bar costs $1.75. The protein water supplies 27 grams of protein and the bar supplies 16 gram. If he has $ 10 dollars to spend

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Could he buy 3 bottles of protein water and 1 protein bar?
ⓓ Could he buy no bottles of protein water and 5 protein bars?

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

OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 46