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 \( x \):
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For \( x = 0 \): \[ f(0) = 7.99 + 1.35 \times 0 = 7.99 \]
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For \( x = 1 \): \[ f(1) = 7.99 + 1.35 \times 1 = 7.99 + 1.35 = 9.34 \]
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For \( x = 2 \): \[ f(2) = 7.99 + 1.35 \times 2 = 7.99 + 2.70 = 10.69 \]
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For \( x = 6 \): \[ f(6) = 7.99 + 1.35 \times 6 = 7.99 + 8.10 = 16.09 \]
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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 |