Question

Suppose that y varies directly with x, and y = 10 when x = 5. What direct variation equation relates x and y? What is the value of y when x = 2?

Answer 1

Answer: Linear equation y=2x

Explanation:

If x=2

Then y=2(2)

y=4

Answer 2

The constant of variation is usually given using the letter k.

To find K you would divide Y by x, so the equation becomes k = Y/x.

First find k using the first y and x values provided:

k = 10/5 = 2

Now you know k, you can solve for y when x = 2:

using the equation k =y/x, replace k and x with the known values and solve for y:

2 = y/2

y = 2*2

y = 4