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## anonymous 4 years ago When a popular running shoe is priced at $70, The Shoe House will sell 15 pairs each week. Using a survey, they have determined that for each decrease of$2 in price, 3 additional pairs will be sold each week. What selling price will give a weekly revenue of \$2250?

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1. anonymous

$\rm Revenue = Price \cdot Pairs~Sold$$2250 = (70 - 2 \cdot n) \cdot (15 + 3 \cdot n)$We can solve for $$n$$ such that the above equation is satisfied. Then use the following relation to determine the price of the shoes that generates the required revenue. ${\rm Price } = 70 - 2 \cdot n$

2. anonymous

so how do I solve for n?

3. anonymous

Foil, then use the quadratic equation.

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