If y varies directly as x and y=288 when x=16 determine the value of y when x-13

Y = kx is the direct variation equation

Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k (16) divide by 16 to find k

18 = k

Now write the new equation

y = 18x

y = 18 (13) or y = 18 (-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.

y = 234 OR y = - 234