Question
A new pizzeria charges $4.00 for a personal size cheese pizza. They then charge you $1.00 for each topping you choose to add to the pizza. Write an equation that represents the total cost of the pizza based on each additional topping. Is option 1 or 2 correct? Option 1: The equation of the additive relationship is y=x−4 . Option 2: The equation of the additive relationship is y=x+4 . (1 point) Option
Answers
GPT-4o mini
To determine the correct equation for the total cost of a pizza based on the number of toppings, we need to break down the costs.
Let \( x \) represent the number of toppings, and \( y \) represent the total cost of the pizza.
1. The base price of the cheese pizza is $4.00.
2. Each topping costs an additional $1.00.
Therefore, the total cost \( y \) can be expressed as:
\[
y = 4 + x
\]
This means that for each topping added, you add $1 to the base price of $4.
Now examining the options:
- **Option 1**: \( y = x - 4 \) suggests that the base price is $0 when \( x = 4 \), which does not reflect the pricing structure.
- **Option 2**: \( y = x + 4 \) correctly represents the situation since it shows that the total cost increases by $1 for each additional topping starting from a base of $4.
Thus, **Option 2** is the correct equation.
Let \( x \) represent the number of toppings, and \( y \) represent the total cost of the pizza.
1. The base price of the cheese pizza is $4.00.
2. Each topping costs an additional $1.00.
Therefore, the total cost \( y \) can be expressed as:
\[
y = 4 + x
\]
This means that for each topping added, you add $1 to the base price of $4.
Now examining the options:
- **Option 1**: \( y = x - 4 \) suggests that the base price is $0 when \( x = 4 \), which does not reflect the pricing structure.
- **Option 2**: \( y = x + 4 \) correctly represents the situation since it shows that the total cost increases by $1 for each additional topping starting from a base of $4.
Thus, **Option 2** is the correct equation.