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

Question

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 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 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 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.

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 a linear function because the total cost (y) can be expressed as a straight line equation in terms of the square footage (x): \( y = 300x \), where the cost increases consistently by a fixed amount for every additional square foot.

The other scenarios involve variables that change in a non-linear manner due to variations in items, speed, or distance.