If x varies inversely as y2, and x = 2 when y = 10, find x when y = 2.
A)x = 50
B)x = 8
C)x = 5
D)x = 20

Name: If x varies inversely as y2, and x = 2 when y = 10, find x when y = 2. A)x = 50 B)x = 8 C)x = 5 D)x = 20
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Question

Quizplus · Accepted Answer

Since x varies inversely as $y^2$, we have $x = \frac{k}{y^2}$ for some constant $k$. When $y = 10$, $x = 2$, so $2 = \frac{k}{10^2}$ or $k = 200$. When $y = 2$, $x = \frac{200}{2^2} = \frac{200}{4} = 50$.

If X Varies Inversely as Y2, and X = 2