) Problem 15: For the function below, y varies directly with x. Find the constant of variation (k). Then find the value of y when x = −0.3.

Question

Note: y = kx (direct variation formula)

y = 4 when x = -3

Answer 1

First, let's find the constant of variation (k) using the given information:

y = kx
4 = k(-3)
4 = -3k
k = -4/3

Now that we have found k, we can use it to find the value of y when x = -0.3:

y = (-4/3)(-0.3)
y = 4/10
y = 0.4

Therefore, when x = -0.3, y = 0.4.