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Tyler and Elena are on the cross country team.Tyler’s distances and times for a training run are shown on the graph.Elenas distances and times for a training run are given by the equation y=8.5x,where x represents distance in miles and y represents time in minutes.Who ran farther in 10 minutes? How much farther? Explain how you know.

Tyler and Elena are on the cross country team.Tyler’s distances and times for a training-example-1
User Piotr Stulinski
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1 Answer

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12 votes

Given:

Tyler's distance and time for a training run are shown on the graph.

Elena's distance and time for a training run are given by the equation as y=8.5x.

The objective is to find the person who ran farther in 10 minutes and the farther distance.

Step-by-step explanation:

The distance covered by Tyler and Elena will be the same.

To find the distance of Tyler:

By observing the graph at t = 10mins in the y-axis, the distance covered by Tyler on the x-axis is nearly 1.2 miles.

To find the distance of Elena:

The equation for Elena is given as,


y=8.5x

Here x represents the distance and y represents the time which is 10 mins.

Substitute the value of y in the given equation.


\begin{gathered} 10=8.5x \\ x=(10)/(8.5) \\ x=1.17647\ldots.. \\ x\approx1.2 \end{gathered}

Hence, the distance covered by Tyler and Elena in 10 minutes will be the same.

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