In 1985, There Were 285 Cell Phone Subscribers In The Small Town Of Glenwood. The Number Of Subscribers Increased By $75 %$ Per Year After 1985. How Many Cell Phone Subscribers Were In Glenwood In

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Introduction

In the year 1985, the small town of Glenwood had a mere 285 cell phone subscribers. However, this number was about to experience an unprecedented growth spurt. The number of subscribers increased by a staggering 75% per year after 1985. In this article, we will delve into the world of exponential growth and calculate the number of cell phone subscribers in Glenwood for the subsequent years.

Understanding Exponential Growth

Exponential growth is a type of growth where the rate of growth is proportional to the current value. In other words, the growth rate is not constant, but rather it increases as the value increases. This type of growth is often seen in populations, financial investments, and even the number of cell phone subscribers.

Calculating the Number of Subscribers

To calculate the number of subscribers in Glenwood for the subsequent years, we will use the formula for exponential growth:

A = P(1 + r)^t

Where:

  • A is the final amount
  • P is the initial amount (285 in this case)
  • r is the growth rate (75% or 0.75 as a decimal)
  • t is the time period (number of years)

Year 1986

For the year 1986, we will calculate the number of subscribers using the formula:

A = 285(1 + 0.75)^1 A = 285(1.75) A = 500.25

So, the number of cell phone subscribers in Glenwood in 1986 was approximately 500.25.

Year 1987

For the year 1987, we will calculate the number of subscribers using the formula:

A = 285(1 + 0.75)^2 A = 285(1.75)^2 A = 285(3.0625) A = 875.3125

So, the number of cell phone subscribers in Glenwood in 1987 was approximately 875.31.

Year 1988

For the year 1988, we will calculate the number of subscribers using the formula:

A = 285(1 + 0.75)^3 A = 285(1.75)^3 A = 285(5.359375) A = 1527.34375

So, the number of cell phone subscribers in Glenwood in 1988 was approximately 1527.34.

Year 1989

For the year 1989, we will calculate the number of subscribers using the formula:

A = 285(1 + 0.75)^4 A = 285(1.75)^4 A = 285(9.37890625) A = 2678.625

So, the number of cell phone subscribers in Glenwood in 1989 was approximately 2678.63.

Year 1990

For the year 1990, we will calculate the number of subscribers using the formula:

A = 285(1 + 0.75)^5 A = 285(1.75)^5 A = 285(16.383984375) A = 4671.111875

So, the number of cell phone subscribers in Glenwood in 1990 was approximately 4671.11.

Conclusion

In conclusion, the number of cell phone subscribers in Glenwood experienced an exponential growth of 75% per year after 1985. Using the formula for exponential growth, we calculated the number of subscribers for the subsequent years. The results show that the number of subscribers increased rapidly, from approximately 500.25 in 1986 to 4671.11 in 1990.

References

Note: The references provided are for educational purposes only and are not a requirement for the article.

Introduction

In our previous article, we explored the exponential growth of cell phone subscribers in Glenwood from 1985 to 1990. We calculated the number of subscribers for each year using the formula for exponential growth. In this article, we will address some of the most frequently asked questions related to this topic.

Q: What is exponential growth?

A: Exponential growth is a type of growth where the rate of growth is proportional to the current value. In other words, the growth rate is not constant, but rather it increases as the value increases.

Q: How is exponential growth calculated?

A: Exponential growth can be calculated using the formula:

A = P(1 + r)^t

Where:

  • A is the final amount
  • P is the initial amount
  • r is the growth rate
  • t is the time period

Q: What is the growth rate in this scenario?

A: The growth rate in this scenario is 75% per year.

Q: How many cell phone subscribers were in Glenwood in 1985?

A: There were 285 cell phone subscribers in Glenwood in 1985.

Q: How many cell phone subscribers were in Glenwood in 1990?

A: There were approximately 4671.11 cell phone subscribers in Glenwood in 1990.

Q: What is the significance of exponential growth in this scenario?

A: Exponential growth is significant in this scenario because it shows how quickly the number of cell phone subscribers in Glenwood increased over a short period of time.

Q: Can exponential growth be applied to other scenarios?

A: Yes, exponential growth can be applied to other scenarios, such as population growth, financial investments, and even the spread of diseases.

Q: What are some real-world examples of exponential growth?

A: Some real-world examples of exponential growth include:

  • The growth of social media platforms
  • The spread of diseases
  • The growth of financial investments
  • The increase in population

Q: How can exponential growth be controlled or managed?

A: Exponential growth can be controlled or managed by implementing policies or strategies that slow down the growth rate. For example, in the case of population growth, governments can implement policies to reduce birth rates or increase death rates.

Conclusion

In conclusion, exponential growth is a powerful concept that can be applied to a wide range of scenarios. In this article, we addressed some of the most frequently asked questions related to the exponential growth of cell phone subscribers in Glenwood. We hope that this article has provided you with a better understanding of exponential growth and its significance in real-world scenarios.

References

Note: The references provided are for educational purposes only and are not a requirement for the article.