Question

Y is directly proportional ( x+2)²
when x = 8 y= 250
find y when x = 4​

Answer 1

y=90 when x=4

Explanation:

We are given that

`y\propto (x+2)^2`

When x=8 and y=250

We have to find the value of y when x=4

`y=k(x+2)^2`

Where k= Proportionality constant

Substitute the values

`250=k(8+2)^2`

`250=100k`

`k=(250)/(100)`

`k=5/2`

Now, substitute x=4 and k=5/2

Then, we get

`y=(5)/(2)(4+2)^2`

`y=(5)/(2)* 36`

`y=90`