### Growth of Cellular Phone Subscriptions in the U.S. (1993-1999)The table below presents data on the growth of cellular phone subscriptions in the United States from 1993 to 1999.| Year | Subscriptions (millions) ||------|--------------------------|| 1993 | 16.00 || 1995 | 33.80 || 1996 | 44.10 || 1997 | 55.30 || 1999 | 86.05 |#### Questions:a) **Fit an Exponential Curve:** - Determine an exponential curve \( y = ab^x \) that best fits the data, where \( x = 0 \) represents the year 1990, and \( y \) is the number of cellular phone subscribers. - Approximate \( a \) and \( b \) to the nearest thousandth.b) **Estimation for 1998:** - Use the model to estimate the number of cellular phone subscribers in 1998.

We have to fit the exponential curve, where represents the year 1990 and y is the number of…

3. The data in the accompanying table show the growth of cellular phone subscriptions in the U.S. from 1993 to 1999. Year 1993 1995 1996 1997 1999 Subscriptions(millions) 16.00 33.80 44.10 55.30 86.05 a) Fit an exponential curve y = ab* that best fits the data, where x = 0 represents the year 1990 and y is the number of cellular phone subscriber. Approximate a and b to the nearest thousandth. b) Use the model to estimate the number of cellular phone subscriber in 1998.

3. The data in the accompanying table show the growth of cellular phone subscriptions in the U.S. from 1993 to 1999. Year 1993 1995 1996 1997 1999 Subscriptions(millions) 16.00 33.80 44.10 55.30 86.05 a) Fit an exponential curve y = ab* that best fits the data, where x = 0 represents the year 1990 and y is the number of cellular phone subscriber. Approximate a and b to the nearest thousandth. b) Use the model to estimate the number of cellular phone subscriber in 1998.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

### Growth of Cellular Phone Subscriptions in the U.S. (1993-1999)

The table below presents data on the growth of cellular phone subscriptions in the United States from 1993 to 1999.

| Year | Subscriptions (millions) |
|------|--------------------------|
| 1993 | 16.00 |
| 1995 | 33.80 |
| 1996 | 44.10 |
| 1997 | 55.30 |
| 1999 | 86.05 |

#### Questions:

a) **Fit an Exponential Curve:**
- Determine an exponential curve \( y = ab^x \) that best fits the data, where \( x = 0 \) represents the year 1990, and \( y \) is the number of cellular phone subscribers.
- Approximate \( a \) and \( b \) to the nearest thousandth.

b) **Estimation for 1998:**
- Use the model to estimate the number of cellular phone subscribers in 1998.

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