The fastest is the one that has the greatest slope (Change of y/Change of x)
For Mittcel:
He runs 5 meters in 2 seconds, then
[tex]\begin{gathered} m=\frac{5}{2} \\ m=2.5 \end{gathered}[/tex]
His rate is 2.5 m/s
For Kyra:
The equation of the distance is
[tex]d=\frac{9}{2}t+3[/tex]
Since the form of the linear equation is
[tex]y=mx+b[/tex]
Where m is the slope, then
[tex]\begin{gathered} m=\frac{9}{2} \\ m=4.5 \end{gathered}[/tex]
Her rate is 4.5 m/s
For Gloria:
From the given figure we can find her rate by dividing the rise by run
From the 2 points (0, 5) and (4, 20)
The slope is
[tex]\begin{gathered} m=\frac{20-5}{4-0} \\ m=\frac{15}{4} \\ m=3.75 \end{gathered}[/tex]
Her rate is 3.75 m/s
For Hashim:
From the given table we can find his rate by using any 2 points
We will use (20, 77), (22, 84)
[tex]\begin{gathered} m=\frac{84-77}{22-20} \\ m=\frac{7}{2} \\ m=3.5 \end{gathered}[/tex]
His rate is 3.5 m/s
Then the fastest is Kyra
