Sure, let's work together on this.
Direct variation involves a relationship between two variables, where one is a constant multiple of the other. The general form of the equation for direct variation is y = kx, where k is the constant of variation.
For our specific variables, we were given that y equals 24 when x equals 15. This can be stated as 24 = 15k.
To find the constant of variation (k), we simply divide y by x, in other words, divide 24 by 15. This gives us 1.6.
Therefore, the direct variation equation that relates x and y for this case is y = 1.6x. This means for every increase of 1 in x, y will increase by 1.6.
This completes the solution.