Question

If Y varies directly with X,
find Y when X=24, if Y = 5
when X= 30.​

Answer 1

Y=4 when X =24

Explanation:

If Y varies directly with X, find Y when X=24, if Y = 5 when X= 30.​

We can write:

`Y\:\alpha\: X\\Y=kX`

Where k is known as constant of proportionality

Now, we are given: Y = 5 when X= 30.​

We can find value of k

`Y=kX\\5=k(30)\\k=(5)/(30)\\k=(1)/(6)`

Now, we will find Y when X = 24

and k=1/6

`Y=kX\\Y=(1)/(6)(24)\\Y=4`

So, Y=4 when X =24.