Directions: Choose the best answer from the four choices given. You may use scratch paper.

The variables *x* and *y* are directly proportional, and *y = 2* when *x = 3*. What is the value of y when *x = 9*?

Choice (B) is correct. Since the variable *x* and *y* are directly proportional, they are related by an equation *y = kx*, where *k* is a constant. It is given that *y = 2* when *x = 3*, and so *2 = k(3)*, which gives *k = 2/3*. Therefore, *y = 2/3x*, and so when *x = 9*, the value of y is *y = 2/3(9) = 6*.