1. Warm Up Use the table to estimate the population for the year 2000. U.S Population according to census data. YearPopulation (millions) 188050.2 189063.0 190076.2 191092.2 1920106.0 1930123.2 1940132.1 1950151.3 1960179.3 1970203.3 1980226.5 1990248.7

2. Solution Enter data into calculator. Let x=0 represent 1880, x=1 represent 1890 and so on. What type of increase do you expect? Linear, Exponential, Quadratic? Run a regression. What would x be for the year 2000? Use your regression model to make an estimate.

3. Compare The actual population in 2000 was 281.4 million. Compare your result to the actual population. Answer: The estimation of 308.2 is an overestimate of about 26.8 million, or 9.5%

4. Follow up

5. Exponential Functions – 1.3

6. Goal I will write equations and draw graphs representing exponential functions

7. Definition

8. Graphing

9. Apply to Exponentials.

10. Solutions

11. What are the domain and range of our graphs?

12. How to find the zeros

13. Notes Check! Practice looking through your notes. Read what you have already written. Any gaps, confusion? Compare your notes to your partners.

14. Use Logs to Solve Exponentials You invest $7500 at an annual interest rate of 1.7%. When will you have 1 million dollars? Think about how to solve this independently. Then you will have the chance to talk to someone about it.

15. Solution

16. Homework See syllabus 1.3 Reading: Pages 36-42. There will be a reading quiz tomorrow. There will also be a unit circle quiz tomorrow!