Question

M is inversely propportional to the square of (p–1).
when p=4‚m=5.
find m when p=6.

Answer 1

m = 1.8

Explanation:

given m is inversely proportional to (p - 1)² then the equation relating them is

m =
`(k)/((p-1)^2)` ← k is the constant of proportion

to find k use the condition when p = 4, m = 5

5 =
`(k)/((4-1)^2)` =
`(k)/(3^2)` =
`(k)/(9)` ( multiply both sides by 9 )

45 = k

m =
`(45)/((p-1)^2)` ← equation of proportion

when p = 6 , then

m =
`(45)/((6-1)^2)` =
`(45)/(5^2)` =
`(45)/(25)` = 1.8