7.7 Exponential Growth and Decay.notebook
December 10, 2015
7.7
Exponential Growth and Decay
By the end of the lesson students will be able to:
identify exponential growth and exponential decay
define growth/ decay factor
write exponential functions to solve applications
Exponential Growth: What does it look like?
As you read the graph from left to right, the
function will move away from the x-axis.
7.7 Exponential Growth and Decay.notebook
December 10, 2015
Exponential Growth Model
y = a(growth factor)x
x is often time
a is the initial amount
growth factor 1 + % as decimal
because this is growth,
this number will be greater than one
Suppose the population of deer in a region was 3500 in the year 2000. Since then the population has grown by 3.5% annually. What will the approximate population be in the year 2020? 7.7 Exponential Growth and Decay.notebook
December 10, 2015
Santa opens a snow shoveling business this year. He projects that he will have 8 costumers this year and that his business should grow by 5% each year. Based on Santa's projections, how many costumers should he have in 10 years?
Exponential Decay: What does it look like?
As you read the graph from left to right, the
function will move toward the x-axis.
7.7 Exponential Growth and Decay.notebook
December 10, 2015
The population of Smallville has been decreasing each year at a rate of 2.9%. If 148,220 people currently live in Smallville, how many residents should the town have in 15 years?
Determine if the function represents exponential growth or decay.
7.7 Exponential Growth and Decay.notebook
December 10, 2015
Determine if the function represents exponential growth or exponential decay. Identify the growth or decay factor.
f(x) = 9(0.25)x
g(x) = 10x h(x) = ­3(2)x
m(x) = 25(1.04)x
Assignment
Page 464
problems 23­31, 33