Question

Apply the linear function f(x) = 0.75x + 9to the following context. A large cheese pizza costs $9, and each additional topping costs $0.75. In this function, x represents the number of toppings that you choose to put on your pizza. Determine the number of toppings you chose to put on your pizza if the total cost was $13.50. (1 point)

Answer 1

To determine the number of toppings you chose, we can use the linear function \( f(x) = 0.75x + 9 \), where \( x \) is the number of toppings and \( f(x) \) is the total cost of the pizza.

We need to find \( x \) when the total cost is $13.50. We can set up the equation:

\[
0.75x + 9 = 13.50
\]

Now, we will solve for \( x \):

1. Subtract 9 from both sides:

\[
0.75x = 13.50 - 9
\]

\[
0.75x = 4.50
\]

2. Divide both sides by 0.75:

\[
x = \frac{4.50}{0.75}
\]

\[
x = 6
\]

Thus, the number of toppings you chose to put on your pizza is **6**.