Question

Brandon and Carmen are each driving from Arches National Park to their homes. The functions graphed represent each person's distance from home, in kilometers, x hours after leaving the park.
Select each correct answer.
 


Carmen is driving at a faster rate than Brandon.

The difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen’s homes to Arches National Park.

The difference in the x-intercepts represents the difference between Brandon's and Carmen's driving speeds.

Brandon is driving at a faster rate than Carmen.

Answer 1

Answer: The correct option first and second.

Explanation:

It is given that Brandon and Carmen are each driving from Arches National Park to their homes. The functions graphed represent each person's distance from home, in kilometers, x hours after leaving the park.

From the figure it is noticed that the distance of Arches National Park form carmen's home is more than the Brandon's home.

It is also noticed that the time take by carmen is less than the Brandon. Since carmen cover more distance in less time it means Carmen is driving at a faster rate than Brandon.

Therefore the option 1 is correct and option 4 is incorrect.

Since the y is represent the distance of Brandon and Carmen from home, it means the difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen’s homes to Arches National Park.

Therefore the option 2 is correct.

The x-axis represents the time, so the option 3 is incorrect.

Therefore two options are correct. i.e., first and second option.

Answer 2

Answer:

A. Carmen is driving at a faster rate than Brandon.

B. The difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen's homes to Arches National Park.