Question

Three friends are traveling to school. Let x represent the number of minutes traveled and y

represent the distance from the school in miles for each representation.


a. Who lives the closest to the school? Explain.

b. Who is traveling the fastest? Explain.

Answer 1

christian closest-0.5 is the distance he traveled which is less than 8 and 6

Explanation:

Freddie is the fastest because christian travles .1 miles every 2 minutes being the slowest and .8 is greater than .66666

Answer 2

a. Christian

b. Freddie

Explanation:

a.

y = mx + b

m is the slope. It represents the speed of walking.

b is the y-intercept. It represents the distance from the school at time 0. Time 0 is when a person leaves his home, so the higher b is the farther from the school the person lives.

Freddie: y = -0.8x + 8

b = 8

Freddie lives 8 miles from school.

Christian: (0, 0.5); b = 0.5

Christian lives 0.5 miles from school.

Trevor: (0, 6) from the graph. b = 6; Trevor lives 6 miles from school.

a. Answer: Christian

b.

Each slope is the speed.

Freddie: m = -0.8

Christian: m = (0.4 - 0.5)/(2 - 0) = -0.1/2 = -0.05

Trevor: m = rise/run = -2/3 = -0.666...

The fastest speed is the slope with the highest absolute value.

b. Answer: Freddie