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20 July, 08:06

A movie theater make a profit Of $15 on adult ticket and $7.50 for children ticket. Write an inequality in slope intercept from that expresses when the profit is less than $15000

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  1. 20 July, 08:22
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    y < 2,000 - 2x

    Step-by-step explanation:

    Solution:-

    - The number of adult ticket sold = x

    - The number of children ticket sold = y

    - The profit from a adult ticket, L1 = $15

    - The profit from a adult ticket, L2 = $7.5

    - The amount of profit (P) made by selling "x" adult tickets and "y" children tickets:

    P = L1*x + L2*y

    P = 15x + 7.5y

    Where, We are to set up an equality for Profit P < $15000:

    15x + 7.5y < 150,000

    - Re-arrange to develop the slope-intercept form of an inequality:

    7.5y < 150,000 - 15x

    y < 2,000 - 2x

    Where, the slope = - 2 and intercept = $2,000
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