The slope of the line representing Oren's progress is 6.25 m/s. This slope represents Oren's speed, indicating that he covers 6.25 meters per second in the 100-meter wheelchair race, as tracked by his coach.
To find the slope of the line representing Oren's progress, we can use the formula for slope, which is given by:
![\[ \text{Slope} = \frac{\text{Change in Distance}}{\text{Change in Time}} \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/n9piarucchpwqt4xxdtnxjoyat6vp8lb0w.png)
Let's take two points from the table, for example, (0, 0) and (15, 93.75), and calculate the slope:
Slope = 6.25
So, the slope of the line representing Oren's progress is 6.25 m/s.
The slope represents Oren's speed, as it indicates the rate at which he covers distance per unit of time. In this case, the slope of 6.25 m/s signifies that Oren covers 6.25 meters in one second.
The complete question is:
Oren is a wheelchair athlete competing in a 100-meter race.
His coach tracks his progress in the table below.
Time (s) Distance (m)
0 0
5 31.25
10 62.5
15 93.75
The coach plans to
make a graph using these points. What will be the slope of the line?
What does the slope represent? Show your work.