Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12

y=8 when x=3

Write a direct variation equation that relates x and y.

y=?

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.

Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes

y = kx

If y = 8 when x = 3, then

8 = 3k

k = 3/8

Therefore, the direct variation equation that relates x and y is

y = 3x/8

When x = 12, then

y = 3 * 12/8

y = 4.5