Question

You are working on a food budget for your family for the week. You know that you typically spend $90

at the grocery store, and you spend about $40
each time you go out to eat as a family.

Does the relationship between the number of times eating out and the total budget represent a linear function?

Answer 1

Explanation:

To determine whether the relationship between the number of times eating out and the total budget represents a linear function, we need to check if the change in the total budget is proportional to the change in the number of times eating out.

Assuming that the cost of groceries stays constant throughout the week, we can represent the total budget (B) for the week as:

B = 90 + 40n

Where n is the number of times the family eats out during the week.

This equation is in the form of a linear function, where the intercept is 90 (the cost of groceries), and the slope is 40 (the cost per meal eaten out).

Therefore, the relationship between the number of times eating out and the total budget represents a linear function.