Question

If y varies inversely as x and y = 5 when x = 2, find x when y is 4.

Answer 1

do you know the equation for inverse proportion?

Answer 2

nope

Answer 3

the formula for inverse proportion is

\(\LARGE y = \frac{k}{x}\)

where k is a proportionality constant..now to solve for your problem, first you need to find the value of k...plug in your first values of x and y

Answer 4

right! so how do you think you can find for k?

Answer 5

5 x 2=10 maybe?

Answer 6

right! so k = 10

now in your problem you're looking for x when y = 4 so now you plug in k and find for x

\(\LARGE 4 = \frac{10}{x}\)

you get how that happened right?