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

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.

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Evelyn 6 days 2021-11-22T07:27:33+00:00 1 Answer 0 views 0

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    2021-11-22T07:29:15+00:00

    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

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