Which one of the following scenarios can be modeled by a linear function?(1 point)

Question

Responses

The total distance traveled by a delivery truck if the speed varies based on traffic.
The total distance traveled by a delivery truck if the speed varies based on traffic.

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.

Answer 1

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 total cost will increase linearly with the number of square feet, resulting in a straight line when graphed. Each additional square foot adds a constant amount ($300) to the total cost, which is characteristic of a linear function.