Jordan will hike the trail shown at a rate of 4 mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation

represent?

What we know:

Start of trail:

0 miles

End of trail:

25 miles

Y=25-4x

Y means the distance Jordan still has to walk after x hours

y = 25 - 4*x

The y-intercept represents the total distance Jordan has to walk

Step-by-step explanation:

By Definition, speed = distance/time. We are interested in distance, then:

distance = speed*time

Calling x the hours of walking, and knowing that his speed is 4 mi/h, then:

distance = 4*x

The trail length is 25 miles, so if he walked 1 mile, 25 - 1 = 24 miles are left, in general:

y = 25 - 4*x

where y is the distance Jordan still has to walk.

The y-intercept is found replacing with x = 0, then:

y = 25 - 4*0

y = 25

which represents the total distance Jordan has to walk