Question

Suppose f(x) varies directly with x and f(x) = 24 when x = 2.

What is the value of f(x) when x = 6?

1/12
1/2
48
72

Answer 1

Answer: D

Explanation:

varies directly means
`(f(x))/(x) = k`

Solve for k:
`(f(x))/(x) = k`

`(24)/(2) = k`

12 = k

Next, input the k-value above and solve for f(x):

`(f(x))/(x) = k`

`(f(x))/(6) = 12`

`(6)(f(x))/(6) = 12(6)`

f(x) = 72