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blagie [28]
2 years ago
5

What is the multiplicative rate of change of the function? The table represents an exponential function.

Mathematics
2 answers:
Ainat [17]2 years ago
8 0

Answer:

The multiplicative rate of change of the function is 0.5

Step-by-step explanation:

zhannawk [14.2K]2 years ago
6 0

Answer:

  • <u>The multiplicative rate of change of the function is 0.5</u>

Explanation:

The <em>multiplicative rate of change</em> is the ratio between consecutive entries.

Naming r the multiplicative rate of change, if it is constant you get:

  • r = second entry / first entry = third entry / second entry = fourth entry / third entry.

Here:

  • second entry / first entry = 0.125 / 0.25 = 0.5
  • third entry / second entry = 0.0625 / 0.125 = 0.5
  • fourth entry / third entry = 0.03125 / 0.0625 = 0.5

Thus, the multiplicative rate of change is 0.5. It means that you can obtain each entry as the product of the previous entry times 0.5:

  • 0.25 × 0.5 = 0.125
  • 0.125 × 0.5 = 0.0625
  • 0.0625 × 0.5 = 0.03125

In general, exponential functions have constant multiplicative rate of changes.

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