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## Suppose y varies inversely with x, and y = 18 when x = 12. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON’T KNOW? <

Question

Suppose y varies inversely with x, and y = 18 when x = 12. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON’T KNOW?

a. 24

b. 9

c. 12

d. 18

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Mathematics
3 years
2021-07-28T12:26:24+00:00
2021-07-28T12:26:24+00:00 2 Answers
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## Answers ( )

Answer:B

Step-by-step explanation:Given that y varies inversely with x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 18 when x = 12 , then

18 = ( multiply both sides by 12 )

216 = k

y = ← equation of variation

When y = 24 , then

24 = ( multiply both sides by x )

24x = 216 ( divide both sides by 24 )

x = 9

Answer:B. 9

Step-by-step explanation:We are given that

yvaries inversely withx. Recall that inverse variation has the form:Where

kis the constant of variation.We are given that

y= 18 whenx= 12. Hence:Solve for

k.Multiply both sides by 12:Thus, our equation is:

We want to find

xwheny= 24. Substitute:Cross-multiply:

Divide both sides by 24. Hence:

Our answer is B.