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OpenStax, Contemporary Mathematics §5.10 Systems of Linear Inequalities in Two Variables · Example 6 · Algebra · Systems

Systems of Linear Inequalities in Two Variables · Example 6

A photographer sells their prints at a booth at a street fair. At the start of the day, they want to have at least 25 photos to display at their booth. Each small photo they display costs $4 and each large photo costs $10. They do not want to spend more than $200 on photos to display.

(a) Write a system of inequalities to model this situation.
(b) Graph the system.
(c) Could they display 10 small and 20 large photos?
(d) Could they display 20 large and 10 small photos?

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OpenStax, Contemporary Mathematics · §5.10 Systems of Linear Inequalities in Two Variables · Example 6

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