y varies inversely with the square of x . If y = 50 when x = 5, find y when x is 2.

Name: y varies inversely with the square of x . If y = 50 when x = 5, find y when x is 2.
Brand: Quizplus
Rating: 4.8 (36 reviews)

Question

Quizplus · Accepted Answer

Using the inverse variation formula: y=k/x^2, where k is a constant. 
When y=50 and x=5, we have: 
50=k/5^2 
50=k/25 
k=1250

Now, we can plug in this value of k and x=2 to find y: 
y=1250/2^2 
y=1250/4 
y=312.5

Therefore, the answer is C.

Y Varies Inversely with the Square of X