A manufacturer of graphing calculators has determined that 11,000 calculators per week will be sold at a price of $90 each. At a price of $80, it is estimated that 17,000 calculators would be sold.

Question

A.) determine a linear function that will predict the number of calculators that would be sold at a given price, x.
B.) use this model to predict the number of calculators that would be sold each week at a price of $60.

Answer 1

You are looking for a fofula of the form

N = a - b P

Where N is the number sold and P is the price. a and b are constants you have to determine from your two data points.

11,000 = a - 90 b
17,000 = a - 80 b
a is easily eliminated as follows:
6000 = 10 b
b = 600

Take it from there.