Apply the linear function f(x)=.75x+9

to 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)

1 answer

To determine the number of toppings you chose to put on your pizza, we can set the total cost equal to the function \( f(x) = 0.75x + 9 \) and solve for \( x \).

Given that the total cost is $13.50, we can set up the equation:

\[ 0.75x + 9 = 13.50 \]

Next, we'll isolate \( x \):

  1. Subtract 9 from both sides:

\[ 0.75x = 13.50 - 9 \] \[ 0.75x = 4.50 \]

  1. Now divide both sides by 0.75 to solve for \( x \):

\[ x = \frac{4.50}{0.75} \] \[ x = 6 \]

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