Question

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=10.

y=6 when x=5
Write a direct variation equation that relates x and y.
y=____

Answer 1

Step-by-step!

Well like the problem says we have to find the relationship between y and x. They gave us y = 6 and x = 5.

I would say that y = x - 1.

Then they tell us to find y when x = 10 with the information we already have!

So if y = x - 1 and x = 10 then y = 9. :)

So the equation is y = x - 1

And y = 9

Answer 2

y = 12

Explanation:

from the question,

y varied directly with x .

mathematicaly

y ∝ x

y = kx ............................. ...............where k is constant of proportionality

k = y/x

to find k, given that y = 6 , x = 5

so,

k = 6/5

k = 1.2

inorder to find the value of y when x = 10

from y = kx

y = 1.2 x 10

y = 12

also,

the direct variation equation that relates x and y is

y = kx.............................................................. direct variation equation that relates x and y