Question

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

Answer 1

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