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
