Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON'T KNOW.

a. 3
b. 12
c. 6
d. 24​

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

Where k is the constant of variation.

We know that y = 48 when x = 3. Substitute:

Solve for k:

Hence, our equation is:

We want to find x when y = 24. Substitute:

Cross-multiply:

Divide both sides by 24. Hence:

Our answer is C.