Question

Y is inversely proportional to x

When x = 3.6, y = 41.76
Find the value of y when x = 25.92

Answer 1

y = 5.8

Explanation:

given y is inversely proportional to x then the equation relating them is

y =
`(k)/(x)` ← k is the constant of proportionality

to find k , substitute x = 3.6, y = 41.76 into the equation

41.76 =
`(k)/(3.6)` ( multiply both sides by 3.6 )

3.6 × 41.76 = k , then k = 150.336

y =
`(150.336)/(x)` ← equation of proportion

when x = 25.92 , then

y =
`(150.336)/(25.92)` = 5.8