Question

Please help with math
domain and range of a linear function that models a real world situation

Answer 1

1. the set of all real numbers from 0 to 80.

2. {80, 81, 82, 83, ..., 360}

Explanation:

So we know based on the number of days the crew works, a certain amount of road will be completed. The amount of road is dependent on the number of days the crew works.

So, number of days crew works = independent variable = D

amount of road completed = dependent variable = L

Since the crew can work for at most 80 days, they can work from 0 to 80 days.

The first answer is the set of all real numbers from 0 to 80.

The length of roads is the function L = 2D + 200. You plug in the D variable as it asks for it. D's domain is from (0, 80).

So,

L = 2(0) + 200 = 200

L = 2(80) + 200 = 360

The answer is {80, 81, 82, 83, ..., 360}