Question

The following table shows the revenue for a company generates based on the increases in the price of the product. What is the equation of the quadratic that models the data?

A. y=(x+5)^2-1125
B. y=(x-5)^2+1125
C. y=-5(x+5)^2-1125
D. y=-5(x-5)^2+1125

Answer 1

The answer is D y=-5(c-5)^2+1125

Answer 2

D.
`y=-5\left(x-5\right)^2+1125`

Explanation:

Let, x= number of $2 increase in price and y= revenue.

So, we are given the data,

x y

1 1045

3 1105

5 1125

7 1105

9 1045

So, using the regression calculator, we get that,

The equation representing the data is
`y=-5\left(x-5\right)^2+1125`.

Thus, option D is correct.