Given: y varies directly as x. If y = 5 when x = 4, what is the value of y when x = 12?

Answer 1

Since y varies directly as x, we can set up a proportion and solve for the value of y when x = 12.

y = kx

First, we need to find the constant of variation (k) using the given values when y = 5 and x = 4.

5 = k * 4
k = 5/4
k = 1.25

Now, we can use this constant of variation to find the value of y when x = 12.

y = 1.25 * 12
y = 15

Therefore, when x = 12, y = 15.