Algebra 1

Lesson 15

Graphing Systems of Linear Equations and Inequalities

The Smoothie Stand Showdown

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Maya and Jake are both selling smoothies at the school fair. They each came up with their own plan to make money — but their plans work very differently.

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Maya

Maya spent $15 on a beautiful booth with decorations, a big sign, and fancy cups. She charges $5 per smoothie because her booth draws a crowd.

Profit=5×smoothies−15\text{Profit} = 5 \times \text{smoothies} - 15
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Jake

Jake didn't spend anything — just a folding table and some cups he had at home. He charges $2 per smoothie to keep the price low.

Profit=2×smoothies\text{Profit} = 2 \times \text{smoothies}

Maya invested up front but charges more. Jake plays it safe with no risk. Who comes out ahead?