Question

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

Answer 1

Answer:

y=90 when x=4

Step-by-step 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

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

$250=100k$

$k=\frac{250}{100}$

$k=5/2$

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

Then, we get

$y=\frac{5}{2}(4+2)^2$

$y=\frac{5}{2}\times 36$

$y=90$