A local cinema found that if the price of admission was $17$⁢17, the attendance was about 20502050 customers per week. When the price of adm

Question

A local cinema found that if the price of admission was $17$⁢17, the attendance was about 20502050 customers per week. When the price of admission was dropped to $12$⁢12, attendance increased to about 21002100 per week. Write a linear equation for the attendance in terms of the price, p. ( A=mp+bA=mp+b )

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Alexandra 4 months 2022-01-07T02:33:33+00:00 1 Answer 0

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    2022-01-07T02:35:06+00:00

    Answer:

    A = -10*p + 2220

    Step-by-step explanation:

    To write a linear equation let define

    A = attendance

    m = slope of the line

    b = intercept of the line

    p = Price  of admision

    let´s find m, using the two points (p,A)

    point 1 = (17, 2050)

    point 2 = (12, 2100)

    m = (2100 – 2050)/(12-17) = -10

    Replacing m in the equation  

    A=-10p+b

    To find b, let´s use point 1  

    2050 = -10*17 + b

    B = 2050  + 170

    b = 2220

    finally, the equation is

    A = -10*p + 2220

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