OpenStax, Intermediate Algebra 2e §4.7 Graphing Systems of Linear Inequalities · Try It 15 · Algebra · Systems

Graphing Systems of Linear Inequalities · Try It 15

Tenison needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories.
ⓐ Write a system of inequalities that models this situation.
ⓑ Graph the system.
ⓒ Can he buy 8 donuts and 4 energy drinks and satisfy his caloric needs?
ⓓ Can he buy 1 donut and 3 energy drinks and satisfy his caloric needs?

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OpenStax, Intermediate Algebra 2e · §4.7 Graphing Systems of Linear Inequalities · Try It 15

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