1. Test Your Mettle Exponential Growth/Decay

2. 1. The table shows the amount of money in an investment account from 1988 to 1994. a. Make a scatterplot of the data on your calculators. (For 1988 use x = 88) b. Determine the window for your calculator: c. Sketch your scatterplot: d. Determine the exponential equation that models the data e. Use your equation to predict the money in the account in 1999, 2002 and 2020.

3. 2. A population of “lady” bugs begins with 50 bugs and grows at a rate of 5.4% each month. a. Write an exponential function to model this growth. b.According to your function, how many bugs will be present after one year? c. Use your calculator to determine the number of months it will take for the population to reach 100 bugs.

4. 3. For each of the following, determine if the function represents exponential growth or decay and find the percent of increase or decrease. a.y = 34(1.23) x b.y = 0.94 x c.y = 193(1.015) x d.y = 3(0.003) x e.y = 102(3) x

5. 4. A car depreciates according the following formula: y = 15,000(0.85) x where x is the time in years and y is the value of the car. a. What is the initial value of the car? b.By what percent is the car depreciating? c.Molly took out a five year loan, how much will the car be worth when she is done paying the loan?