Write an equation that expresses the relationship. Use k as the constant of variation.
-The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 200 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 120 seconds to finish the race.
A) 5 feet per second
B) 6 feet per second
C) 7 feet per second
D) 4 feet per second

Question

Quizplus · Accepted Answer

The relationship is expressed as $ t = \frac{k}{s} $. Given $ t = 200 $ and $ s = 3 $, we find $ k = 600 $. For $ t = 120 $, solve $ 120 = \frac{600}{s} $ to find $ s = 5 $ feet per second.

Write an Equation That Expresses the Relationship