contestada

Which of the following equations is an example of inverse variation between variables x and y?

A. y = x + 7
B. y = 7x
C. y = x/7
D. y = 7/x

Respuesta :

kudzordzifrancis

Answer:

D. [tex]y=\frac{7}{x}[/tex]

Step-by-step explanation:

Let y varies inversely with x.

Then we can write the variation equation:

[tex]y\propto \frac{1}{x}[/tex]

We introduce the constant of proportionality, k and obtain the inverse variation equation:

[tex]y=\frac{k}{x}[/tex]

From the given options, the only equation in this form is

[tex]y=\frac{7}{x}[/tex]

In this case, k=7 is the constant of proportionality or constant of variation.

Otras preguntas