Question
Which one of the following scenarios can be modeled by a linear function?(1 point) Responses 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 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.
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 a linear function because the total cost increases steadily at a constant rate ($300 for each additional square foot) regardless of the size of the home. In contrast, the other scenarios involve variables that do not maintain a constant rate of change, making them non-linear.
**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 increases steadily at a constant rate ($300 for each additional square foot) regardless of the size of the home. In contrast, the other scenarios involve variables that do not maintain a constant rate of change, making them non-linear.