1. Warm up What is the tenth term of an = 2n + 3?
What is the fourth term of an = 3(2n) + 1?
If bn = bn-1  4 and b3 = 16, what is b5?
If an = an and a1 = 10, what is a4?

2. Review HW

3. Average Rate of Change

4. Rate of Change
Ratio describing how one quantity changes as another quantity changes
Slope can be used to describe it

5. Rate of Change Positive – increases over time
Negative – decreases over time

6. Rate of Change
Linear functions have a constant rate of change, meaning values increase or decrease at the SAME rate over a period of time

7. Rate of Change Horizontal lines have 0 rate of change
Vertical lines have undefined rate of change

8. Average Rate of Change

9. Ex 1 Find the Average Rate of Change
f(x) = 2x2 – 3 from [2, 4].

10. Ex 2 Find the Average Rate of Change
f(x) = 3x – 2 from [2, 5].

11. Ex 3 Find the Average Rate of Change
f(x) = -4x + 10 from [-1, 3].
m = -4

12. A. Find the rate of change from day 1 to 2.
Ex 4 Find the Average Rate of Change
A. Find the rate of change from day 1 to 2.
m = 11
Days (x)
Amount of Bacteria f(x) 1 19 2 30 3 48 4 76 5
121 6
192
B. Find the rate of change from day 2 to 5.

13. Ex 5 Find the Average Rate of Change Households in Millions f(x)
In 2008, about 66 million U.S. households had both landline phones & cell phones. Find the rate of change from 2008 – 2011.
Year (x)
Households in Millions f(x)
2008 66
2009 61
2010 56
2011 51
m = -5
What does this mean?
It decreased 5 million households per year from 2008 – 11.

14. Class Work Walking Task

15. Rate of Change 18 problems
Homework
Rate of Change
18 problems