If y varies inversely as x, find the inverse variation equation for the situation.
-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 120 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 200 seconds to finish the race.
A) 5 feet per second
B) 2 feet per second
C) 3 feet per second
D) 4 feet per second

Question

Quizplus · Accepted Answer

The inverse variation equation is $y = \frac{k}{x}$, where $k$ is the constant of variation. Given $y = 120$ seconds and $x = 5$ feet per second, we find $k = 120 \times 5 = 600$. For $y = 200$ seconds, $200 = \frac{600}{x}$, solving for $x$ gives $x = 3$ feet per second.

If Y Varies Inversely as X, Find the Inverse Variation