Download Day 3 Exponential Growth.notebook

Day 3 Exponential Growth.notebook
March 15, 2017
Date: 3/15 or 3/16
Objective: I can solve equations using exponential growth.
Entry: Evaluate
1) f(x) = 4(7)x , x = 3
2) f(x) = 80(1/2)x , x = 10
Graph
3) y = 2(3)x
4) y = 8(1/2)x
Vocabulary
Exponential growth occurs when an quantity
increases by the same rate r in each period t.
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Day 3 Exponential Growth.notebook
March 15, 2017
Ex 1 Exponential Growth
The original value of a painting is $9,000 and the
value increases by 7% each year. Write an
exponential growth function to model this situation.
Then find the painting’s value in 15 years.
Equation
Step 1 Write the exponential growth function for
this situation.
Step 2 Find the value in 15 years.
A
B
When will the painting have
doubled in value?
If you wanted to sell the painting when
it was worth at least $15,000, what
would be the first year you might sell it?
Example 2: Art World
A sculpture is increasing in value at a rate of 8% per year,
and its value in 2000 was $1200. Write an exponential growth
function to model this situation. Then find the sculpture’s
value in 2006.
Equation
Step 1 Write the exponential growth function for
this situation.
Step 2 Find the value in 2006.
Bonus In what year will the sculpture be
worth $5000?
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Day 3 Exponential Growth.notebook
March 15, 2017
Compound Interest is interest earned or paid on
both the principal and previously earned interest.
Ex 3 Financial Applications
Write a compound interest function to model each
situation. Then find the balance after the given
number of years. $1200 invested at a rate of 2%
compounded quarterly.
Equation
Step 1 Write the compound interest function for this situation.
Step 2 Find the balance after 3 years.
Bonus How long will it take for the balance
to be $1500?
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Day 3 Exponential Growth.notebook
March 15, 2017
Ex 4 More Financial Applications
Write a compound interest function to model each
situation. Then find the balance after the given
number of years. $1200 borrowed at a rate of 9.5%
compounded monthly, assume no payments are
being made.
Equation
Step 1 Write the compound interest function for this situation.
Step 2 Find the balance after 4 years.
Bonus When will you owe $5000?
Practice
book assignment 11.3
Pages 809­810,
#2,3, 10­17, 37­39
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Day 3 Exponential Growth.notebook
March 15, 2017
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