Unit Test — Unit test Answers

What is the relation between the variables in the equation ?

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Interpret the following exponential function: What is the growth/decay factor? What is the y-intercept?

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

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Using the quadratic regression equation predict what your stopping distance would be if you were going 80 miles per hour.

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 24 -1 16.8 0 11.76 1 8.232 2 5.7624 a. c. b. d. Please select the best answer from the choices provided

Interpret the following exponential function: What is the growth/decay factor? What is the y-intercept?

Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

The data set represents a progression of hourly temperature measurements. Use a graphing calculator to determine the quadratic regression equation for this data set. Round all coefficients to the nearest thousandth. x 0 1 2 3 4 5 y 20 16 10 0 -7 -20 Which equation best represents the quadratic regression model for this data? a. c. b. d.

Solve the following equation by first writing the equation in the form : a. b. c. 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. 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

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

What is the relation between the variables in the equation ?

From the table below, determine whether the data shows an exponential function. Explain why or why not. x –5 –4 –3 –2 y 0.5 2 8 32

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

Solve the following equation: a. b. c. No real solutions d. Please select the best answer from the choices provided

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you come up with values to use in the graph?

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 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?