Equations of Exponential Functions Answers

Given the following equation of an exponential function determine the decay rate.

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 21 -1 14.7 0 10.29 1 7.203 2 5.0421 a. c. b. d. Please select the best answer from the choices provided

Given the following equation of an exponential function determine the base, b, of the exponential model. Is the base a growth or decay factor?

Given the following equation of an exponential function determine the base, b, of the exponential model. Is the base a growth or decay factor?

You are a college freshman and have a credit card. You immediately purchase a television set for $1200. Your credit limit is $2000. Let’s assume that you make no payments and purchase nothing more and there are no other fees. The monthly interest rate is 1.12%.What is your initial credit card balance?

You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume that you make no payments and purchase nothing more and there are no other fees. The monthly interest rate is 1.42%.What is the growth factor of your credit card balance?

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. The exponential regression equation was found to be where x represents the number of years since 2000. Use the regression equation to predict the number of VHS movies in 2011. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.4 5.2 4.5 3.8 3.1

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Decide which scatterplot is representative of the data and determine if the data would be better modeled by a linear model or by an exponential model. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.3 5.5 4.1 3.8 3.1 Graph A Graph B

You are working part-time for an electronics company while going to high school. The following table shows the hourly wage, w(t), in dollars, that you earn as a function of time, t. Time is measured in years since the beginning of 2004 when you started working. TIME, t, Years since 2004 0 1 2 3 4 5 Hourly wage, w($) 9.00 9.90 10.90 12.00 13.2 14.5 Write an exponential equation that models the data in the table. a. c. b. d. Please select the best answer from the choices provided

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 26 -1 18.2 0 12.74 1 8.918 2 6.2426 a. c. b. d. Please select the best answer from the choices provided

You have just graduated from college and purchased a car for $8000. Your credit limit is $11,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 2%. What is your initial credit card balance?

Each year the Miller county country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. Rounds 1 2 3 4 Number of players left 64 32 16 8 Write an exponential equation that models the data provided in the table. a. c. b. d. Please select the best answer from the choices provided

How is the data represented on a scatterplot that depicts an exponential model?

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 23 -1 16.1 0 11.27 1 7.889 2 5.5223 a. c. b. d. Please select the best answer from the choices provided

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Use a graphing calculator to determine the exponential regression equation that best fits the VHS rental data. Let x represent the number of years since 2000. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 7.8 6.3 5.1 4.4 3.6 3.1