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`.



number of toppings (x) price (x)

0

1

2

6

10

x

Answer 1

To create a function \( f(x) \) that gives the total price of a pizza based on the number of toppings \( x \), we can break down the costs as follows:

- The base price of the pizza is $7.99.
- Each topping adds an additional $1.35 to the price.

Thus, the total price \( f(x) \) as a function of the number of toppings \( x \) can be expressed as:

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

Where:
- \( f(x) \) is the total price of the pizza.
- \( x \) is the number of toppings.

Now, let’s compute the total price for the different numbers of toppings you provided:

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

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

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

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

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

You can summarize the results as follows:

| Number of Toppings (x) | Price (f(x)) |
|-------------------------|---------------|
| 0 | $7.99 |
| 1 | $9.34 |
| 2 | $10.69 |
| 6 | $16.09 |
| 10 | $21.49 |

So the function rule that describes the total price as a function of the number of toppings \( x \) is:

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