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-1 + 7 and a1 = 10, what is a4?
Review HW
Average Rate of Change
Rate of Change Ratio describing how one quantity changes as another quantity changes Slope can be used to describe it
Rate of Change Positive – increases over time Negative – decreases over time
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
Rate of Change Horizontal lines have 0 rate of change Vertical lines have undefined rate of change
Average Rate of Change
Ex 1 Find the Average Rate of Change f(x) = 2x2 – 3 from [2, 4].
Ex 2 Find the Average Rate of Change f(x) = 3x – 2 from [2, 5].
Ex 3 Find the Average Rate of Change f(x) = -4x + 10 from [-1, 3]. m = -4
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.
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.
Class Work Walking Task
Rate of Change 18 problems Homework Rate of Change 18 problems