Question

The price of a pizza is $7.99 plus an additional $1.35 for each topping.

Write a function rule, f, that gives the total price as a function of the number of toppings, x.
f(x) =

Number of toppings (x): 0, 1, 2, 6,10, x

Price f(x) : _, _, _,_

Answer 1

To create a function rule for the total price of a pizza based on the number of toppings, we can start by understanding the components of the pricing:

1. The base price of the pizza is $7.99.
2. Each topping costs an additional $1.35.

Thus, the total price \( f(x) \) can be modeled by the following function:

\[
f(x) = 7.99 + 1.35x
\]

Where:
- \( f(x) \) is the total price when there are \( x \) toppings.
- \( 7.99 \) is the base price of the pizza.
- \( 1.35 \) is the cost per topping.

Now, let's calculate the price for the specified number of toppings: \( x = 0, 1, 2, 6, 10 \).

1. **For \( x = 0 \)**:
\[
f(0) = 7.99 + 1.35(0) = 7.99
\]

2. **For \( x = 1 \)**:
\[
f(1) = 7.99 + 1.35(1) = 7.99 + 1.35 = 9.34
\]

3. **For \( x = 2 \)**:
\[
f(2) = 7.99 + 1.35(2) = 7.99 + 2.70 = 10.69
\]

4. **For \( x = 6 \)**:
\[
f(6) = 7.99 + 1.35(6) = 7.99 + 8.10 = 16.09
\]

5. **For \( x = 10 \)**:
\[
f(10) = 7.99 + 1.35(10) = 7.99 + 13.50 = 21.49
\]

Now we can summarize the function and the prices calculated:

\[
f(x) = 7.99 + 1.35x
\]

### Number of toppings (x):
0, 1, 2, 6, 10

### Price \( f(x) \):
7.99, 9.34, 10.69, 16.09, 21.49

So, the complete information is:

- For \( x = 0 \): \( f(0) = 7.99 \)
- For \( x = 1 \): \( f(1) = 9.34 \)
- For \( x = 2 \): \( f(2) = 10.69 \)
- For \( x = 6 \): \( f(6) = 16.09 \)
- For \( x = 10 \): \( f(10) = 21.49 \)