Question

I need help understanding this, please explain it with the answer.

Suppose y varies inversely with x, and y = −3 when x = 14.

What is the value of y when x = −7?
This is the last question on my HW, and I'm tired, so help would be greatly appreciated :)

Answer 1

Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.

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.

When y varies inversely with x, the rule is given by:

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

y = −3 when x = 14, hence we use this to find k.

$-3 = \frac{k}{14} \rightarrow k = -42$

Then:

$y = -\frac{42}{x}$

Then when x = -7, y = -42/-7 = 6.

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

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