Question

m is inversely proportional to the square of (p-1
When p = 4, m = 5.
Find m when p = 6.​

Answer 1

Answer: m=1.8

Step-by-step explanation:

if m is inversely proportional to

(p-1)^2 then

m=k/(p-1)^2

p=4, m=5 is given so=

5=k/(p-1)^2

5=k/9

k=9*5 =45

k=45

now substitute this value to the equation above:

when p=6

m=k/(p-1)^2

m=45/(6-1)^2

m=45/25

m=1.8

Answer 2

Answer:

The required value of m , when p = 6 is 3.

Step-by-step explanation:

Based on the cited conditions, formulate:

$m = \frac{k}{( p - 1)}$

Now, putting the value m and p we get,

$5 = \frac{k}{4-1}$

We can also write it as $\frac{k}{4-1} = 5$

Solving the above equation we get the value of k.

$\frac{k}{3} = 5$

or, k = 15

Putting the value of k in the equation $m = \frac{k}{( p - 1)}$ we get,

$m = \frac{15}{( p - 1)}$

or, $m = \frac{15}{( 6 - 1)}$

or, $m = \frac{15}{5}$

or, m = 3

Therefore, the required value of m , when p = 6 is 3.