Solve.
-x varies inversely as y2. If x = 6 when y = 6, find x when y = 2.
A)x = 3
B)x = 54
C)x = 24
D)x = 108

Question

Quizplus · Accepted Answer

Using the inverse variation formula, we have:
x ∝ 1/y^2
x = k/y^2  (where k is the constant of proportionality)
To find k, we can use the values given:
x = 6 when y = 6
6 = k/6^2
k = 216
Now we can use k to find x when y = 2:
x = 216/2^2
x = 54. Using the inverse variation formula, we have:
x = k/y^2
where k is a constant of variation. Plugging in the given values, we get:
6 = k/6^2
k = 216
So the equation is:
x = 216/y^2
To find x when y = 2, we plug in y = 2 and solve:
x = 216/2^2 = 54
Therefore, the answer is choice B, x = 54.

Solve. -X Varies Inversely as Y2. If X = 6 When