Which table represents a function with a greater rate of change than y = 3x?

x f (x)

-3 - 12

-1 - 4

4 16

x f (x)

-2 6

-1 3

1 - 3

x f (x)

1 0.25

8 2

16 4

x f (x)

-9 3

-3 1

21 - 7

x f (x)

-3 - 12

-1 - 4

4 16

Step-by-step explanation:

Let us find the each function by evaluating them one by one

1.

x f (x)

-3 - 12 = - 3 x 4

-1 - 4 = - 1 x 4

4 16 = 4 x 4

By observing the data we can see that

f (x) = 4x

2.

x f (x)

-2 6 = - 2 x - 3

-1 3 = - 1 x - 3

1 - 3 = 1 x - 3

f (x) = - 3x

3.

x f (x)

1 0.25 = 1/4

8 2 = 8/4

16 4 = 16/4

f (x) = x/4

4.

x f (x)

-9 3 = - 9/-3

-3 1 = - 3/-3

21 - 7 = 21/-3

f (x) = x/-3

Hence comparing all the four function with our given function f (x) = 3x, we see that f (x) = 4x has a greater rate of change that f (x) = 3x

The Correct Answer is A.