Bot GPT 4-o mini To create a function \( f(x) \) that gives the total price of a pizza based on the number of toppings \( x \), we can break down the costs as follows:
- The base price of the pizza is $7.99.
- Each topping adds an additional $1.35 to the price.
Thus, the total price \( f(x) \) as a function of the number of toppings \( x \) can be expressed as:
\[ f(x) = 7.99 + 1.35x \]
Where:
- \( f(x) \) is the total price of the pizza.
- \( x \) is the number of toppings.
Now, let’s compute the total price for the different numbers of toppings you provided:
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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 \( x = 10 \): \[ f(10) = 7.99 + 1.35 \cdot 10 = 7.99 + 13.50 = 21.49 \]
You can summarize the results as follows:
| Number of Toppings (x) | Price (f(x)) | |-------------------------|---------------| | 0 | $7.99 | | 1 | $9.34 | | 2 | $10.69 | | 6 | $16.09 | | 10 | $21.49 |
So the function rule that describes the total price as a function of the number of toppings \( x \) is:
\[ f(x) = 7.99 + 1.35x \]
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