How can you tell whether an exponential model describes exponential growth or exponential decay?

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How can you tell whether an exponential model describes exponential growth or exponential decay?

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asked 2021-05-08

Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. A new car is worth $25,000, and its value decreases by 15% each year; 6 years.

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asked 2021-05-29

Determine whether each function represents exponential growth or exponential decay. Identify the percent rate of change.
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asked 2020-12-12

Tell whether the function represents exponential growth or exponential decay. Then graph the function. $f(x)=(1.5)^{x}$

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asked 2020-10-23

The close connection between logarithm and exponential functions is used often by statisticians as they analyze patterns in data where the numbers range from very small to very large values. For example, the following table shows values that might occur as a bacteria population grows according to the exponential function P(t)=50(2t):
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c. Suppose that you had a different set of experimental data that you suspected was an example of exponential growth or decay, and you produced a similar “third row” with values equal to the logarithms of the population data.
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asked 2021-05-01

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function. $y=5^x$

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asked 2021-02-16

The number of teams y remaining in a single elimination tournament can be found using the exponential function $\displaystyle{y}={128}{\left({\frac{{{1}}}{{{2}}}}\right)}^{{x}}$ , where x is the number of rounds played in the tournament. a. Determine whether the function represents exponential growth or decay. Explain. b. What does 128 represent in the function? c. What percent of the teams are eliminated after each round? Explain how you know. d. Graph the function. What is a reasonable domain and range for the function? Explain.

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asked 2020-11-27

Without graphing, determine whether the function y = 0.3(1.25)x represents exponential growth or decay. State how you made the determination.

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asked 2021-02-19

Tell whether the function represents exponential growth or exponential decay. Explain.
$\displaystyle{y}={3}{\left({0.85}\right)}^{{x}}$

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asked 2021-01-27

Graph each function and tell whether it represents exponential growth, exponential decay, or neither. y=3(1.5)^x

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Answer 1

An exponential model is of the form $A=A_0e^(kt)$ where $A_0$ is the original amount or size of the entity at t = 0, A is amount or size at time t, and k is a constant representing the rate of growth decay.
If k > 0, then the model represents a growing quantity and k is called as the growth rate.
If k
So, we can tell whether an exponential model describes exponential growth or decay using the value of k.
Step 2
Conclusion:
Therefore, we can tell whether an exponential model describes exponential growth or decay using the value of k.

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How can you tell whether an exponential model describes exponential growth or exponential decay?

How can you tell whether an exponential model describes exponential growth or exponential decay?

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