Question

time in minutes distance in miles 0 0 20 20 40 30 60 50 which graph correctly shows marisols motion?

Explanation:

Step1: Analyze the data - points

At time = 0 minutes, distance = 0 miles; at time = 20 minutes, distance = 20 miles; at time = 40 minutes, distance = 30 miles; at time = 60 minutes, distance = 50 miles.

Step2: Check slopes for intervals

From 0 - 20 minutes, the slope (speed) is $\frac{20 - 0}{20 - 0}=1$ mile per minute. From 20 - 40 minutes, the slope is $\frac{30 - 20}{40 - 20}=\frac{1}{2}$ mile per minute. From 40 - 60 minutes, the slope is $\frac{50 - 30}{60 - 40}=1$ mile per minute.

Step3: Match with graphs

Graph W has different slopes in different intervals which match the calculated slopes from the data - table.

Answer:

W