Question

the graph shows the distance traveled by an olympic-level sprinter, y, over time during a race, x. find the slope of the line, and complete the sentences below.
100-meter race
the slope of the line is choose
the slope represents choose.

Explanation:

Step1: Identify two points on the line

The line passes through (0, 0) and (10, 100) (from the graph: time x=10s, distance y=100m).

Step2: Calculate the slope

Slope formula: $\frac{y_2 - y_1}{x_2 - x_1} = \frac{100 - 0}{10 - 0} = 10$.

Step3: Interpret the slope

Slope = $\frac{\text{Distance (m)}}{\text{Time (s)}}$, which is speed.

Answer:

The slope of the line is 10.
The slope represents the sprinter's speed (in meters per second).