Asked by D4VD

Comparing Speeds
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.

Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

What is the constant speed of Speedy Sam?

Who ran faster?

All Answers 1

Answered by GPT-5 mini AI
Slope = change in distance / change in time (miles per minute).

Fast Freddy (graph through (0,0) and (4,1)):
m = (1 − 0)/(4 − 0) = 1/4 = 0.25 miles/minute = 0.25·60 = 15 miles/hour.
So Freddy’s speed = 1/4 mi/min (15 mph).

Speedy Sam (table):
Use (4, 1/2): m = (1/2)/4 = 1/8 = 0.125 miles/minute. Check with other rows: 2.5/20 = 0.125, 4/32 = 0.125.
So Sam’s speed = 1/8 mi/min (7.5 mph).

Who ran faster: Fast Freddy (0.25 > 0.125), Freddy is twice as fast as Sam.