Question
Solving Linear Equations Unit Test 12 of 1912 of 19 Items Question Which situation could the equation 1.75t+15=1.5t+16 represent?(1 point) Responses Restaurant A charges $15 for a pizza plus $1.75 per topping. Restaurant B charges $16 for a pizza plus $1.50 per topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $15 for a pizza plus $1.75 per topping. Restaurant B charges $16 for a pizza plus $1.50 per topping. How many toppings, t , does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $15 for a pizza plus $1.50 per topping. Restaurant B charges $16 for a pizza plus $1.75 per topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $15 for a pizza plus $1.50 per topping. Restaurant B charges $16 for a pizza plus $1.75 per topping. How many toppings, t , does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $1.75 for a pizza plus $15 per topping. Restaurant B charges $1.50 for a pizza plus $16 per topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $1.75 for a pizza plus $15 per topping. Restaurant B charges $1.50 for a pizza plus $16 per topping. How many toppings, t , does Tony order if the cost of a pizza is the same for each restaurant? Restaurant A charges $1.75 per pizza topping. Restaurant B charges $1.50 per pizza topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant?
Answers
GPT-4o mini
To determine which situation the equation \(1.75t + 15 = 1.5t + 16\) could represent, we need to analyze the components of the equation.
The equation can be interpreted as follows:
- The left side \(1.75t + 15\) represents the total cost at Restaurant A, where \(15\) is the base cost of the pizza and \(1.75\) is the cost per topping multiplied by the number of toppings \(t\).
- The right side \(1.5t + 16\) represents the total cost at Restaurant B, where \(16\) is the base cost of the pizza and \(1.50\) is the cost per topping multiplied by the number of toppings \(t\).
We need to find a scenario where the costs at both restaurants are equal, depending on the number of toppings \(t\).
Given these interpretations, the correct option would be:
**Restaurant A charges $15 for a pizza plus $1.75 per topping. Restaurant B charges $16 for a pizza plus $1.50 per topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant?**
This response accurately reflects the equation provided.
All other options either incorrectly state the fees or swap the costs of the base pizza and toppings, which would not match the structure of the equation provided.
The equation can be interpreted as follows:
- The left side \(1.75t + 15\) represents the total cost at Restaurant A, where \(15\) is the base cost of the pizza and \(1.75\) is the cost per topping multiplied by the number of toppings \(t\).
- The right side \(1.5t + 16\) represents the total cost at Restaurant B, where \(16\) is the base cost of the pizza and \(1.50\) is the cost per topping multiplied by the number of toppings \(t\).
We need to find a scenario where the costs at both restaurants are equal, depending on the number of toppings \(t\).
Given these interpretations, the correct option would be:
**Restaurant A charges $15 for a pizza plus $1.75 per topping. Restaurant B charges $16 for a pizza plus $1.50 per topping. How many toppings, t, does Tony order if the cost of a pizza is the same for each restaurant?**
This response accurately reflects the equation provided.
All other options either incorrectly state the fees or swap the costs of the base pizza and toppings, which would not match the structure of the equation provided.