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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Exercise 50 · Algebra · Systems

Graphing Systems of Linear Inequalities · Exercise 50

Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Could they take 9 children and 4 adults to both shows?
ⓓ Could they take 8 children and 5 adults to both shows?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 50

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