1. Bell Assignment Solve for x: log (x+4) + log (x+1) = 1 Solve for x: 7 x = 3

2. Solve the following system of equations: 100 = ae 2b 300 = ae 4b

3. Population Growth Below are estimates of the world population (in millions) from 1992 to 2000. (a)Create a scatterplot using the data in the table. (b)Find an exponential function that models the data (c)Use your GUT to determine the year for which the world population is 6.5 billion (6500 million) 199219931994199519961997199819992000 544555275607568857675847592660056083

4. LAW of Exponential Growth: Y=ae bt The “a” and “b” vary depending on the situation

5. In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. After 2 days there are 100 flies, and after 4 days there are 300 flies. How many flies will there be after 5 days? From the information you can get two points in the form of (t, y) where t is the time (in days) and y is the # of fruit flies. The two points are (2, 100) and (4, 300)

6. In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. After 2 days there are 125 flies, and after 4 days there are 350 flies. How many flies will there be after 6 years? Y = 44.63 e 0.515x 981 flies

7. If $20, 000 is invested in an account that pays An annual interest rate of 10.5% determine: (a)How long will it take for her account to double? (b)How much will be in the account after 10 year? (assume the interest is compounded continuously)

8. Let N = 200e kt represent growth for a certain colony of bacteria in your back pack. At time t = 3 days, the number of bacteria N= 2453. (a)Find an exponential equation to model how many bacteria are in this backpack after t days. (b)How many bacteria are in the back pack after 10 days?