Question

Alan's company rents cars to people who are at least 24 years old. Which graph best represents the possible ages of people who can rent cars from Alan's company?

A number line with a closed circle on 24, with shading to the left.
A number line with an open circle on 24, with shading to the left.
A number line with a closed circle on 24, with shading to the right.
A number line with an open circle on 24, with shading to the right.

Answer 1

The graph which best represents the possible ages of people who can rent cars from Alan's company is:

A number line with a closed circle on 24, with shading to the right.

Explanation:

It is given that:

Alan's company rents cars to people who are at least 24 years old.

i.e. in order for a person to rent car from his company the age has to be greater than or equal to 24 years.

So if x represent the age of a person.

Then the possible value of x such that the car could be rented from Alan's company is:

x≥24

i.e. [24,∞)

This means that the shaded region will be a number line with closed circle at 24 and shading to the right of 24.

Answer 2

A number line with a closed circle on 24, with shading to the right.

Explanation:

"At least 24" means 24 or more. The graph will have a closed circle at 24, because 24 is part of the solution set. The shading will extend to the right, because numbers greater than 24 are also included in the solution set.

⇒ closed circle at 24, shading to the right