Question

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?

Answer 1

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

$\displaystyle y=\frac{k}{x}$

Where k is the constant of variation.

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

$\displaystyle (48)=\frac{k}{(3)}$

Solve for k:

$k=3(48)=144$

Hence, our equation is:

$\displaystyle y=\frac{144}{x}$

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

$\displaystyle \frac{24}{1}=\frac{144}{x}$

Cross-multiply:

$24x=144$

Divide both sides by 24. Hence:

$x=6$

Our answer is C.