A 4-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled 2 Superscript x with entries one-fourth, one-half, a, d, 4. The third column is labeled 3 times 2 Superscript x with entries three-fourths, three-halves, b, e, 12. The fourth column is labeled 2 Superscript 3 x with entries StartFraction 1 Over 64 EndFraction, one-eighth, c, f, 64.

Option C: is the equation that have a greater rate of change.

Explanation:

From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)

We need to determine the rate of change.

The rate of change can be determined using the formula,

Substituting the any two coordinates in the formula, we get, the slope of the equation.

Let us substitute the coordinates (20,6) and (100,30)

Thus, we have,

Simplifying, we get,

Dividing, we get,

Also, the y - intercept of the equation is

The equation of the line becomes

Thus, the equation that has a greater rate of change is

Hence, Option C is the correct answer.