Answer:
We get Y=4 when X =24
Step-by-step 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:
[tex]Y\:\alpha\: X\\Y=kX[/tex]
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
[tex]Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}[/tex]
So, k=1/6
Now, we will find Y when X = 24
and k=1/6
[tex]Y=kX\\Y=\frac{1}{6}(24)\\Y=4[/tex]
So, Y=4 when X =24.
