Consider the average speed of a runner who jogs around a track four times. The distance (400m) remains constant for each lap. However, each lap is run 5 seconds slower than the first. The time for each lap increases. The average speed for each lap ______________. This is an example of a(n) _____________ relationship.

Respuesta :

The correct sentence is:

The average speed for each lap decreases. This is an example of a(n) inverse relationship.

Explanation:

The distance traveled in each lap is constant: d = 400 m, however the time t increases at every lap. The average speed of the runner at each lap is given by

[tex]v=\frac{d}{t}[/tex]

Since d is constant while t increases, then the speed v must decrease. This is an example of inverse relationship: when the time t increases, the speed v decreases, and vice-versa.

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