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

Question

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## Answers ( No )

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.