Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.

Question

Revolt · Accepted Answer

At $7.50 per soccer ball, the profit is $232.50, so the store needs $167.50 in profit from footballs. Set −4x² + 80x − 150 = 167.50 and solve for x. The football price can be about $5.46 or $14.54.

Modeling with Quadratic Equations

Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.

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