Transcript 11 * 11 = 4 12 * 12 = 9 13 * 13 = 16 14 * 14 = ?? Answer It.

11 * 11 = 4
12 * 12 = 9
13 * 13 = 16
14 * 14 = ??
Answer It
Describe the transformations that would be
made to y = 3x
1. y  2(3)
x 5
1
1 x
2. y   (3)  4
3
Is this a growth or decay model?
The swans on Elsworth Pond have been
increasing in number each year. Felix has been
keeping track and so far he has counted 2, 4, 7,
17, and 33 swans each year for the past five
years.
1) Make a scatter plot of the data.
2) Is this a linear or exponential
model?
3) How many swans should Felix
expect next year?
P87
MCC9-12.F.LE.5 Interpret
the parameters in a linear
or exponential function in
terms of a context.
CC Coordinate Algebra
Day 42 (3-11-13)
UNIT QUESTION: How can we use
real-world situations to construct and
compare linear and exponential
models and solve problems?
Standard: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5
Today’s Question:
How is interest earned in the bank
modeled with an exponential
equation?
Standard: MMCC9-12.F.LE.1
y  P 1  r 
t
y  P 1  r 
y = balance
y = balance
P = initial
P = initial
t = time in years
t = time in years
r = % of increase
r = % of decrease
1+r = growth factor
1- r = decay factor
t
In 2000, the cost of tuition at a state university
was $4300. During the next 8 years, the tuition
rose 4% each year.
A) Write a model the gives the tuition y (in dollars) t years
after 2000.
B) What is the growth factor?
C) How much would it cost to attend college in 2010? In
2015?
D) How long it will take for tuition to reach $9000?
A 2010 Honda Accord depreciates at a rate of
11% per year. The car was bought for $25000.
A) Write a model the gives the value of the car y (in dollars) t
years after 2010.
B) What is the decay factor?
C) How much is the car worth now? In 2015?
D) How long will it take for my car to be worth half?
Extension
A) What “r” value would be used if the principal is being
doubled every year?
A) What about if it is tripled ever year?
Suppose you start work at $600 a week. After a year,
you are given two choices for getting a raise:
a) 2% a year
b) a flat $15 a week raise for each successive year.
Which option is better?
Which function has the greatest rate of change?
Option A
An investment of $1,000 earns interest
at a rate of 3.75%, compounded
monthly.
Option B
Practice Worksheet
y  P 1  r 
t
y  P 1  r 
t
Practice Worksheet
y  P 1  r 
t
y  P 1  r 
t