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 price f(x)
0
1
2
6
10
x

Answer 1

To create a function \( f(x) \) that represents the total price of a pizza as a function of the number of toppings \( x \), we can start with the base price of the pizza and then add the cost of the toppings.

The price of the pizza is $7.99, and each topping costs an additional $1.35.

So, the total price \( f(x) \) can be expressed mathematically as:

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

Here, \( x \) is the number of toppings.

Now, let's calculate \( f(x) \) for the specified values of \( x \):

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

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

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

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

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

To summarize the price function and the calculated results:

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

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