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

Answer:

a. For $x=0.5$→  $y=36$

b. For $x=1$→  $y=18$

c. For $x=2$→  $y=9$

d. For $x=3$→  $y=6$

Step-by-step explanation:

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

$y=\frac{k}{x}$

Where "k" is the constant of variation.

In this case we know that:

$k=18$

So, the equation is:

$y=\frac{18}{x}$

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

a. For $x=0.5$→  $y=\frac{18}{0.5}=36$

b. For $x=1$→  $y=\frac{18}{1}=18$

c. For $x=2$→  $y=\frac{18}{2}=9$

d. For $x=3$→  $y=\frac{18}{3}=6$