### 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

See similar textbooks

Related questions

Q: Use the Seaport data set below, a = 0.2, and ẞ = 0.4 to calculate the adjusted exponential smoothing…

Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

A: Given information:The number of personal care aids in 2024 is 157,500, which is a growth of 28% over…

Q: A farm in Canada had 218 alpacas on January 1, 2004. After 8 years, the alpaca population decreases…

A: This question is based on exponential function.

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round…

A: Given information: Given data represents the values of the independent variable x = year and y =…

Q: 5. A recent article stated that San Francisco rents dropped 3.2% each month from April 2020 through…

A: Since. rent drop by 3.2% each month there will be a multiplication factor of 1-3.2% for next month…

Q: Given the following graph, determine the growth rate and initial population. 60 40 (0.21) (122)…

A: Given a population growth model, and we have to find initial population and growth rateHere, x-axis…

Q: 3. Consider this data about COVID-19 from a certain city. Weeks since 10th New Cases Case 0 1 2 3 4…

A: Regression analysis Predicting new COVID cases with time.

Q: 120 8 Solar Electricty Generation (Billion kWhr) 100 60 40 20 0 World Solar Electricity Generation…

A: Fitted exponential function is, Y=0.745e0.371t where y is solar electricity generation in Billion KW…

Q: 1. You have been hired as a consultant for the City of Los Angeles. City planners need to understand…

Q: During periods when the unadjusted federal minimum wage is constant, identify the trend that you…

A: Introduction: The unadjusted federal minimum wages are shown using the solid line, whereas the…

Q: 4. After purchasing your car, you want to determine how fuel economic your Fuel Annual car is in…

A: Let's find.

Q: Predict the list price of a vehicle with city MPG 21.6 and the acceleration time to 60mph 8.4…

A: A regression model is given.

Q: City B City C City D City E 20 City A City F 50 km 20 19% 213 223 218 100 km 195 20 20% 21% 213 22%

A: Solution: Let X be the growth rate within 50km and Y be the growth rate within 100km. From the given…

Q: number of Android smartphone users has grown exponentially since it was first introduced to the…

A: Given query is to find the expression for number of users after 2010 then find the time when it…

Q: maintain a particular standard of living i da he nearest dolac) 飞们 300 Sはの

A: The amount of need in 1979 should be divided by the CPI of that year and should be multiplied by the…

Q: Number of Bacteria YA

Q: why is an exponential function used to model the population data

A: Why is an exponential function used to model the population data?

Q: Data from the Statistical Abstract of the United States show that in 1995 there were 56.61 thousand…

A: The exponential growth is represented using the equation: f(t)=a1+rt, where a is the initial value,…

Q: Determine the logarithmic regression of the data below using either a calculator or spreadsheet…

A: y value is 6925.9(rounded to the nearest tenth).Explanation:Step 1:Enter the data points into two…

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Description of given information

VIEW

Step 2: Evaluation of exponential curve

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 22 images

SEE SOLUTION Check out a sample Q&A here

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

by Bartleby Expert

SEE SOLUTION

Similar questions

The following table relates the weight of garbage in tons to the time in years since 1984. It is known that the relationship is exponential. Use the table to answer the following questions. Number of years since 1984 1 3 5 7 9 Weight of garbage (in tons) 2580 3715.2 5349.888 7703.83872 11093.52776 What is the 2-year growth factor? What is the 1-year percent change? What was the weight of the garbage in 1982?
Define the three logarithmic regression models? Explain how Logarithms and percentages are inter linked?
Q1: In what years were global temperatures the lowest? Q2: In what years were global temperatures the highest? Q3: What trend is apparent in this graph of actual global temperatures?
18q5Woh4mQxT_QQVL1RKDY"%5.. O A Johnstone, J Bushra Almjareesh - Version A Pre-Calc Module 14 Quiz Google.pdf + 352% nswer Write an equation for the function and label as exponential growth or exponential decay. I (1, 10) (0, 5) 2. If the data below are from an exponential function, what is the value of a? OD e 30 SAMSUNG