The function f(t)=720(1.0095)^{\frac{t}{7}}f(t)=720(1.0095)7t​ represents the change in a quantity over t days. What does the constant 1.0095 reveal about the rate of change of the quantity?

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A: Please refer to the image below

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Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

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Q: average rate of change

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A: The given problem is solved below in detail.

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Q: what is the Derivative of Exponential Functions?

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Q: What is the average rate of change of f between x=3 and x=10

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Exponential Growth Model

The relation that represents an exponential function is: