what are two ways the graphed function could be used to solve real world problems?

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what are two ways the graphed function could be used to solve real world problems?

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    2021-09-10T21:17:10+00:00

    a) Determine an equation for the population with respect to the number of years after 2014, assuming that the population increases at a constant rate.

    Solution

    The function will be of the form

    p=a r n, where a is the initial population, r is the rate of increase, n is the time in years and

    p is the population.

    p=584,513(1.0002)n

    b) Find the optimum price for the chips to maximize the profit for the company.

    Solution

    This will be the vertex of the function. We will need to complete the square.P=−54×2+15x+200

    P=-54(x2−12x)+200

    P=−54(x2−12x+36−36)+200

    P=−54(x−6)2+45+200

    P=−54(x−6)

    2+245

    The optimum price is $6 per bag.

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