To create a function rule for the total price of a pizza based on the number of toppings, we can start by understanding the components of the pricing:
- The base price of the pizza is $7.99.
- Each topping costs an additional $1.35.
Thus, the total price \( f(x) \) can be modeled by the following function:
\[ f(x) = 7.99 + 1.35x \]
Where:
- \( f(x) \) is the total price when there are \( x \) toppings.
- \( 7.99 \) is the base price of the pizza.
- \( 1.35 \) is the cost per topping.
Now, let's calculate the price for the specified number of toppings: \( x = 0, 1, 2, 6, 10 \).
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For \( x = 0 \): \[ f(0) = 7.99 + 1.35(0) = 7.99 \]
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For \( x = 1 \): \[ f(1) = 7.99 + 1.35(1) = 7.99 + 1.35 = 9.34 \]
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For \( x = 2 \): \[ f(2) = 7.99 + 1.35(2) = 7.99 + 2.70 = 10.69 \]
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For \( x = 6 \): \[ f(6) = 7.99 + 1.35(6) = 7.99 + 8.10 = 16.09 \]
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For \( x = 10 \): \[ f(10) = 7.99 + 1.35(10) = 7.99 + 13.50 = 21.49 \]
Now we can summarize the function and the prices calculated:
\[ f(x) = 7.99 + 1.35x \]
Number of toppings (x):
0, 1, 2, 6, 10
Price \( f(x) \):
7.99, 9.34, 10.69, 16.09, 21.49
So, the complete information is:
- For \( x = 0 \): \( f(0) = 7.99 \)
- For \( x = 1 \): \( f(1) = 9.34 \)
- For \( x = 2 \): \( f(2) = 10.69 \)
- For \( x = 6 \): \( f(6) = 16.09 \)
- For \( x = 10 \): \( f(10) = 21.49 \)
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