Suppose y varies directly with x. Write an equation relating x and y.y = 5 when x = -15y = 24 when x = 4

The statement "y varies directly with x" means that y = kx for some constant k. We can find the value of k using the given values of x and y.

First, let's use the pair (x, y) = (-15, 5). Substituting these values into the equation gives:

5 = k*(-15) Solving for k gives k = -5/15 = -1/3.

To confirm this value of k, let's use the second pair (x, y) = (4, 24):

24 = k*4 Solving for k gives k = 24/4 = 6.

Since the value of k is not the same for both pairs, there seems to be a mistake. The statement "y varies directly with x" implies that the ratio y/x should be the same for all pairs of x and y, which is not the case here. Therefore, it's not possible to write an equation of the form y = kx that fits both pairs of values.