Question
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Note the displayed exponential function. What is the exponential growth rate?
Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as
needed.
Click here to launch the interactive figure.
Choose the correct answer below.
A. 5
B.
C.
D.

Ask by Martinez Ward. in the United States
Mar 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The exponential growth rate is 5.

Solution

To find the exponential growth rate, we need to determine the rate at which the exponential function is increasing.
Given that the exponential function is , we can see that the base of the exponential function is 2.
The exponential growth rate is the rate at which the exponential function is increasing, which can be calculated as the ratio of the change in the function’s value to the change in the input variable.
In this case, the exponential growth rate is 100% because the function doubles every time the input variable increases by 1.
Therefore, the correct answer is:
A. 5

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Bonus Knowledge

To determine the exponential growth rate from an exponential function, you can analyze the base of the exponential function or any presented data points. If the function grows rapidly, it’s a hint that the growth rate may be high, possibly above 10%.
To accurately find the growth rate, focus on the change in value over a specific period. If you see that the function increases consistently by a certain percentage or absolute number, that will guide you in identifying the correct answer from the options provided.

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