MATHEMATICS COLLEGE

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. 24ā€‹

Answers

Answer 1
Answer:

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=(k)/(x)

Where k is the constant of variation.

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

\displaystyle (48)=(k)/((3))

Solve for k:

k=3(48)=144

Hence, our equation is:

\displaystyle y=(144)/(x)

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

\displaystyle (24)/(1)=(144)/(x)

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

Our answer is C.

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