Question

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.

Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answer 1

9514 1404 393

Answer:

• slope: 10 m/s
• represents speed in meters per second

Explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

the slope represents the sprinter's speed in meters per second.