Question
Which one of the following scenarios can be modeled by a linear function?(1 point)
Responses
The total cost of a bag of groceries if the bag contains many different items.
The total cost of a bag of groceries if the bag contains many different items.
The total distance traveled by a biker if the biker rides a different number of miles each day.
The total distance traveled by a biker if the biker rides a different number of miles each day.
The total cost of building a new home if the builder charges $300 per square foot.
The total cost of building a new home if the builder charges $300 per square foot.
The total distance traveled by a delivery truck if the speed varies based on traffic.
Responses
The total cost of a bag of groceries if the bag contains many different items.
The total cost of a bag of groceries if the bag contains many different items.
The total distance traveled by a biker if the biker rides a different number of miles each day.
The total distance traveled by a biker if the biker rides a different number of miles each day.
The total cost of building a new home if the builder charges $300 per square foot.
The total cost of building a new home if the builder charges $300 per square foot.
The total distance traveled by a delivery truck if the speed varies based on traffic.
Answers
GPT-4o mini
The scenario that can be modeled by a linear function is:
**The total cost of building a new home if the builder charges $300 per square foot.**
This is because the cost is directly proportional to the number of square feet, which means it can be represented by a linear equation (Cost = $300 * Square Feet). The other scenarios involve varying amounts or conditions that do not produce a consistent linear relationship.
**The total cost of building a new home if the builder charges $300 per square foot.**
This is because the cost is directly proportional to the number of square feet, which means it can be represented by a linear equation (Cost = $300 * Square Feet). The other scenarios involve varying amounts or conditions that do not produce a consistent linear relationship.