Question

distance (miles)time (hours)
7.5 1
15 2
22.5 3
30 4
the table represents the distance covered by emma over several hours on a recent saturday bike ride. becky takes the same route, and the total distance she travels, y miles, in x hours is represented by the function y = 8x. assuming that emma and becky travel at a constant rate of speed, which statement best compares their biking speeds?
a emma travels 0.5 miles per hour faster than becky.
b becky travels 0.5 miles per hour faster than emma.
c emma travels 7 miles per hour faster than becky.
d emma and becky travel at the same speed.

Explanation:

Step1: Calculate Emma's speed

Speed = $\frac{\text{Distance}}{\text{Time}} = \frac{7.5}{1} = 7.5$ mph

Step2: Identify Becky's speed

From $y=8x$, speed = $8$ mph

Step3: Compare the two speeds

$8 - 7.5 = 0.5$ mph

Answer:

A. Emma travels 0.5 miles per hour faster than Becky.