Question

22. Suppose that y varies inversely with x and that y=4 when x=6. What is an equation for the inverse variation?

A. Y= 6/4x
B. Y= 24/x
C. Y= 2/3 x
D. Y= x/24

Answer 1

To solve this problem you must apply the proccedure shown below:
 1. You must find the constant of variation k, as below:
 2. You have that y varies inversely with x and that y=4 when x=6, therefore:
 y=k/x
 3. Solve for k:
 k=yx
 k=(4)(6)
 k=24
 3. Therefore, you have:
 y=24/x
 The answer is y=24/x

Answer 2

The equation that represents the inverse variation is y = 24 / x.

What is the equation?

When two variables vary inversely, as one of the variables increases, the other decreased.

The formula used to represent inverse proportion is:

y =  k/x

• y = dependent variable

• x = independent variable

• k = constant of proportionality

4 = k/6

y = 24 / x

To learn more about inverse variation, please check: https://brainly.com/question/25748643

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