Chapter 5.6, Problem 320E

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

320. 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

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

(b) Graph the system.

(c) Could he buy 3 bottles of protein water and 1 protein bar?

(d) Could he buy no bottles of protein water and 5 protein bars?