# Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Practice and Problem-Solving Exercises - Page 245: 19

The graph is modeled below

#### Work Step by Step

The equation of the graph that represented the distance the runner has traveled as a function of the time the runner has been runner is y=$\frac{1}{6}$x. To find the time the runner has been running as a function of the distance the runner has traveled, you have to find the reciprocal of the slope in the equation above, which is 6 and since the equation above did not have any y-intercepts, we can ignore it. The equation of time run as a function of the distance traveled can be modeled by the equation: y=6x.

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