Question

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.

Answer 1

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.

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.

$\begin{gathered} 10=8.5x \\ x=\frac{10}{8.5} \\ x=1.17647\ldots.. \\ x\approx1.2 \end{gathered}$

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