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​

B. 9

Step-by-step explanation:

We are given that y varies inversely with x. Recall that inverse variation has the form:

Where k is the constant of variation.

We are given that y = 18 when x = 12. Hence:

Solve for k. Multiply both sides by 12:

Thus, our equation is:

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

Cross-multiply:

Divide both sides by 24. Hence:

Our answer is B.

x = 9

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

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional