Answer:
[tex]y = \frac{4}{15} [/tex]
Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
[tex]y \: \: \: \alpha \: \: \: kx[/tex]
where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
[tex] \frac{1}{5} = 3k \\ 15k = 1 \\ k = \frac{1}{15} [/tex]
So the formula for the variation is
[tex]y = \frac{x}{15} [/tex]
From the question
when x = 4
[tex]y = \frac{4}{15} [/tex]
Hope this helps you
