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
icon
Related questions
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.
Transcribed Image Text:### 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 22 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Use the data in the accompanying table to find the logarithmic regression equation to the nearest tenth

Solution
Bartleby Expert
SEE SOLUTION
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,