Question

Which runner has the fastest pace ns how do you know list lk tuner speeds

Answer 1

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

`\begin{gathered} m=(5)/(2) \\ m=2.5 \end{gathered}`

His rate is 2.5 m/s

For Kyra:

The equation of the distance is

`d=(9)/(2)t+3`

Since the form of the linear equation is

`y=mx+b`

Where m is the slope, then

`\begin{gathered} m=(9)/(2) \\ m=4.5 \end{gathered}`

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

`\begin{gathered} m=(20-5)/(4-0) \\ m=(15)/(4) \\ m=3.75 \end{gathered}`

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)

`\begin{gathered} m=(84-77)/(22-20) \\ m=(7)/(2) \\ m=3.5 \end{gathered}`

His rate is 3.5 m/s

Then the fastest is Kyra