Question

If Y varies directly with X,
find y when X =24 if y =5
when X = 30.
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Answer 1

We get Y=4 when X =24

Explanation:

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

We are given If Y varies directly with X, we can write:

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

Where k is constant of proportionality

We need to find Y when X=24, first we need to find k, the constant of proportionality.

Now, we are given: If Y = 5 when X= 30.​

We can find value of k

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

So, 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.

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