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Math Help - Interpret the slope and the y-intercept in terms of the problem?

  1. #1
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    Interpret the slope and the y-intercept in terms of the problem?

    A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week the profit was $11,328 when 1324 patrons attended. Another week 1529 patrons produced a profit of $13275.50.

    I already found the formula and it is y = 9.5x - 1250

    Question:
    Interpret the slope and the y-intercept in terms of the problem.

    Please help me with this. Do I just answer 9.5 is the slope and -1250 is the y-intercept? Or do I have to explain something more? Thank you.
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  2. #2
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    Quote Originally Posted by nox16 View Post

    I already found the formula and it is y = 9.5x - 1250

    Question:
    Interpret the slope and the y-intercept in terms of the problem.

    Please help me with this. Do I just answer 9.5 is the slope and -1250 is the y-intercept? Or do I have to explain something more? Thank you.
    You need to explain these 2 inumbers in the context of the problem. For example the 1250 is the fixed running cost for the week. What do you think the 9.5 represents?
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  3. #3
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    So 9.5 represents the price that each patrons pay when attending this theater?
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  4. #4
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    Quote Originally Posted by nox16 View Post
    So 9.5 represents the price that each patrons pay when attending this theater?
    Nice work..
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