Question

Assume that the variables x and y are inversely related. If k = 18, what is the value of y for each of the following points? Be sure and record your data to be used in the following problem.

x y ka. 0.5____8b. 1______8c. 2______8d. 3______8

Answer 1

a. For
`x=0.5`→
`y=36`

b. For
`x=1`→
`y=18`

c. For
`x=2`→
`y=9`

d. For
`x=3`→
`y=6`

Explanation:

Since the variables "x" and "y" are inversely related, the equation has the following form:

`y=(k)/(x)`

Where "k" is the constant of variation.

In this case we know that:

`k=18`

So, the equation is:

`y=(18)/(x)`

Therefore, substituting the given values of "x" into the equation, we get:

a. For
`x=0.5`→
`y=(18)/(0.5)=36`

b. For
`x=1`→
`y=(18)/(1)=18`

c. For
`x=2`→
`y=(18)/(2)=9`

d. For
`x=3`→
`y=(18)/(3)=6`