Question

The table represents an exponential function.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 0.25, 0.125, 0.0625, 0.03125.

What is the multiplicative rate of change of the function?

0.2
0.25
0.5
0.75

Answer 1

0.5

Each y-value is half the previous one: 0.125 ÷ 0.25 = 0.5 (and 0.0625 ÷ 0.125 = 0.5, etc.), so the multiplicative rate is 0.5.