Question

2. Suppose that y varies inversely with x. Write an equation for the inverse variation.

Answer 1

Answer:

$y=\frac{28}{x}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

we have

y = 4 when x = 7

Find the value of the constant of proportionality k

$k=y*x$

substitute

$k=(4)(7)=28$

therefore

The equation  for the inverse variation is equal to

$y=\frac{28}{x}$