Question

Question 2 of 5

Answer 1

The inverse proportional relationship that models this variation is given as follows:

$y = \frac{10,000}{x}$

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

An inverse proportional relationship is given as follows:

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

In this problem, we have an inverse relation in which y(2) = 5000, hence the constant k is found as follows:

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

$5000 = \frac{k}{2}$

k = 10,000

Hence the relation is:

$y = \frac{10,000}{x}$

As stated in the problem, when x = 5, y = 2,000, which we can verify replacing in the relation.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1