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:
[tex]y = -12.75x^2 +262.5x + 3600[/tex]
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:
[tex]y = (450 - 15x) (8 + 0.85x)\\\\y = 3600 + 382.5x - 120x - 12.75x^2\\\\y = -12.75x^2 +262.5x + 3600[/tex]
Thus the equation used to find Sarah's weekly sales income is found
ANSWER: y = -12.75x^2 + 262.5x + 3600
EXPLANATION: valid for edmentum/plato
