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The graph shows the distance a car traveled, y, in x hours: A coordinate plane graph is shown. The x-axis is labeled time in hours, and the y-axis is labeled distance in miles. The line passes through the points 1 comma 35, 2 comma 70, and 3 comma 105. What is the rise-over-run value for the relationship represented in the graph? (4 points)

The graph shows the distance a car traveled y in x hours A coordinate plane graph is shown The xaxis is labeled time in hours and the yaxis is labeled distance class=
The graph shows the distance a car traveled y in x hours A coordinate plane graph is shown The xaxis is labeled time in hours and the yaxis is labeled distance class=

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SOLUTION

From the graph,

[tex]\begin{gathered} \text{Rise}=\text{Distance(mi)}=y-\text{values} \\ \text{Run}=\text{Time(hr)}=x-\text{values} \end{gathered}[/tex]

To obtain the rise-over-run value, we will pick any two points on the graph and solve for the slope.

[tex]\begin{gathered} (x_1,y_1)=(1,35) \\ (x_2,y_2)=(2,70) \end{gathered}[/tex]

The formula for the slope(m) between two points is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore,

[tex]\begin{gathered} m=\frac{70-35}{2-1}=\frac{35}{1}=35 \\ \therefore m=35 \end{gathered}[/tex]

Hence, the rise-over-run value is 35 (OPTION 3).

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