Question

the graph of a direct variation equation passes through the point (28,98). write the direct variation equation and find the value of y when x=24. be sure to write the direct variation constant as a reduced fraction.

Answer 1

84

Explanation:

Adapting the general form of the direct proportion equation to this situation, we obtain y = kx => 98 = 28k. Thus, k = 98/28 = 3.5 or 3 1/2 or 7/2.

Thus, y = (7/2)x, and if x = 24, then y = (7/2)(24) = 84.