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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Try It 16 · Algebra · Systems

Graphing Systems of Linear Inequalities · Try It 16

Philip’s doctor tells him he should add at least 1000 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.

ⓐ Write a system of inequalities that models this situation.
ⓑ Graph the system.
ⓒ Can he buy 3 protein bars and 5 bottles of juice?
ⓒ Can he buy 5 protein bars and 3 bottles of juice?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Try It 16

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