Question

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.

Answer 1

Question:

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?

Answer:

The equation used to find Sarah's weekly sales income is:

$y = -12.75x^2 +262.5x + 3600$

Solution:

Let "y" be the sarah income

From given,

Sarah's income = Number of trays x Rate per tray

Last week, she sold 450 fruit trays for $8 per tray

Therefore,

y = 450 x 8

In previous weeks, she found that for every $0.85 increase in the price, she sold 15 fewer fruit trays

If there is an increase of 0.85 in price,

New price = 8 + 0.85

For x number of increases,

new price = 8 + 0.85x

She sold 15 fewer fruit trays

Number of trays reduced = 450 - 15x

Thus, Sarah's income is:

$y = (450 - 15x) (8 + 0.85x)\\\\y = 3600 + 382.5x - 120x - 12.75x^2\\\\y = -12.75x^2 +262.5x + 3600$

Thus the equation used to find Sarah's weekly sales income is found