Question

Suppose y varies directly as x, and that y = 5a when x = a. Then, when x = 3a + 2, what will the value of y be?

Answer 1

Hey there!!

Direct variation :

y = kx

( k is the constant )

And given : y = 5a when x = a

y = 5a can be written as y = 5x

Now we know 5 is the constant.

When x = 3a + 2 what is the value of y?

y = kx

y = 5 ( 3a + 2 )

y = 15a + 10

Hope my answer helps!!