If x varies directly as y, and x = 48 when y = 16, find x when y = 5. a) 5/3 b) 153.6 c) 15

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above: x varies directly as y. When x is 48, y is 16.

 2. Keeping the information above on mind, you have:

 y=x/k

 Where k is the constant of variation

 3. Then, the value of k is:

 k=x/y
 k=48/16
 k=3

 4. Therefore, when when y=5, the value of x is:

 y=x/3
 x=(5)(3)
 x=15

 5. Then, as you can see, the correct answer is the last option (Option C), which is:

 C. 15