Question

Claire shops at her local bookstore and recently received a $75 gift certificate for her birthday. The store recently released a new promotion.

a) y=9x
b) y=12x+7
c) y=9x−75
d) y=12x

Answer 1

To determine which option could correspond to f(x), we can analyze the given information. Option b. y = x² satisfies the given conditions. The correct option is b.

Step-by-step explanation:

The given options for the function f(x) are:

a. y = 13x

b. y = x²

To determine which option could correspond to f(x), we can analyze the given information. It states that the function f(x) has a positive value at x = 3, with a positive slope that is decreasing in magnitude with increasing x.

Option b. y = x² satisfies these conditions. At x = 3, y = 9 which is a positive value, and the slope of the function increases as x increases (the slope gets steeper as x increases). Therefore, option b. y = x² could correspond to f(x). The correct option is b.