To create a function that gives the total price of a pizza based on the number of toppings, we can define the function \( f(x) \), where \( x \) represents the number of toppings.
The base price of the pizza is $7.99, and each topping costs an additional $1.35. Therefore, the total price \( f(x) \) can be calculated using the formula:
\[ f(x) = 7.99 + 1.35 \cdot x \]
Now, let's fill in the values for different 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 \( x = 10 \): \( f(10) = 7.99 + 1.35 \cdot 10 = 7.99 + 13.50 = 21.49 \)
Based on these calculations, we can summarize the total prices for the specified number of toppings:
- \( x = 0 \): \( f(0) = 7.99 \)
- \( x = 1 \): \( f(1) = 9.34 \)
- \( x = 2 \): \( f(2) = 10.69 \)
- \( x = 6 \): \( f(6) = 16.09 \)
- \( x = 10 \): \( f(10) = 21.49 \)
Thus, the final function rule is:
\[ f(x) = 7.99 + 1.35x \]