To write a function rule \( f \) that gives the total price of a pizza as a function of the number of toppings \( x \), we need to consider both the base price of the pizza and the cost of each topping.
The base price of the pizza is $7.99 and each topping costs $1.35.
The total price can be described with the following equation:
\[ f(x) = 7.99 + 1.35x \]
Where:
- \( f(x) \) is the total price of the pizza,
- \( x \) is the number of toppings.
Now we can use this function to calculate the total price for various numbers of toppings:
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For \( x = 0 \): \[ f(0) = 7.99 + 1.35 \cdot 0 = 7.99 \]
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For \( x = 1 \): \[ f(1) = 7.99 + 1.35 \cdot 1 = 7.99 + 1.35 = 9.34 \]
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For \( x = 2 \): \[ f(2) = 7.99 + 1.35 \cdot 2 = 7.99 + 2.70 = 10.69 \]
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For \( x = 6 \): \[ f(6) = 7.99 + 1.35 \cdot 6 = 7.99 + 8.10 = 16.09 \]
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For \( x = 10 \): \[ f(10) = 7.99 + 1.35 \cdot 10 = 7.99 + 13.50 = 21.49 \]
So the function rule for the total price of the pizza based on the number of toppings is:
\[ f(x) = 7.99 + 1.35x \]
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