Question

Select the correct answer. sarah sells fruit trays at a salad shop. last week, she sold 450 fruit trays for $8 per tray. in previous weeks, she found that for every $0.85 increase in the price, she sold 15 fewer fruit trays. which equation can be used to find sarah's weekly sales income in dollars, y, after x price increases of $0.85? a. y = ? 12.75 ? x 2 502.5 ? x 3 , 600 b. y = ? 12.75 ? x 2 272.5 ? x 3 , 600 c. y = ? 12.75 ? x 2 482.5 ? x 3 , 600 d.

Answer 1

y = -12.75x² + 262.5x + 3600

Explanation:

Sorry, but the answer choices you copied are hard to make sense of. But here is what I think is the correct equation:

Initial sales = $3600 = (450 trays)($8 /tray)

For every $0.85 increase in the price, Sarah sells 15 fewer trays, therefore: Number of trays sold = 450 - 15x

x = # of price increases

Price of each tray = $8 + $0.85x

Weekly sales income = y = (8 + 0.85x)(450 - 15x)

Expanded equation:

y = -12.75x² + 382.5x - 120x + 3600 = -12.75x² + 262.5x + 3600

I hope this is right!