Question

Mr. Watford owns two car dealerships. His profit from the first can be modeled with the polynomial c 3 − c 2 + 2c − 100, where c is the number of cars he sells. Mr. Watford’s profit from his second dealership can be modeled with the polynomial c2 − 4c − 300. a. Write a polynomial to represent the difference of the profit at his first dealership and the profit at his second dealership. _________________________________________________ ____________________________________ b. If Mr. Watford sells 45 cars in his first dealership and 300 cars in his second, what is the difference in profit between the two dealerships?

Answer 1

`(c^3-c^2+2c-100) - (c^2-4c-300)`, 590
the function is created by the first dealership minue the second dealership.
to find the difference plus in 45 for the values of c in the first function and 300 in the second function.

`(45^3-45^2+2(45)-100) - (300^2-4(300)-300)`
simplify, then subtract.
89090-88500=590