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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.

A) increases, direct

B) decreases, direct

C) increases, inverse

D) decreases, inverse

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(D) decreases, inverse

Average speed of a body is defined as the ratio of the distance traveled to the time taken to travel the distance. The runner runs the same distance of 400 m during each lap but takes 5 seconds more for each lap.

Since
v_a_v_g=(d)/(t), as time increases, the average speed for each lap increases.

Thus,
v\alpha (1)/(t) when the distance traveled is the same. This is an example of an inverse proportionality relationship.

User Zaki Choudhury
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