Question

Suppose y varies inversely with x. Write an equation for the inverse variation. y = 10 when x = 2.4

Answer 1

Answer:

The equation is equal to

$y*x=24$  or $y=24/x$

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 $y=k/x$

In this problem we have

For x=2.4, y=10

Find the constant of proportionality k

$y*x=k$

substitute the given values

$2.4*10=k$

$k=24$

therefore

The equation is equal to

$y*x=24$  or $y=24/x$