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Deleon Lowe
07/25/2024 · Senior High School

A store charges \( \$ 16.25 \) for 5 boxes of cookies. A second store charges \( \$ 11.00 \) for 4 boxes of cookies, but you have to buy a gallon of milk for \( \$ 3.00 \) to get that deal. Write the cost model equations for both stores, and find the number of boxes of cookies that makes the costs equal. Write the cost model equation for the first store. Use \( x \) to represent the number of boxes of cookies. The variable C represents the total cost. (Use integers or decimals for any numbers in the expression. Do not factor.)

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The cost model equation for the first store is \( C_1 = 3.25x \). For the second store, it is \( C_2 = 0.6875x + 3.00 \). The number of boxes of cookies that makes the costs equal is approximately \( 1.17 \).

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