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Exponential word problems.notebook
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March 23, 2017
Exponential Word ProblemsBellwork:
Each summer FDHS sponsors a tennis tournament. Play starts with 128 participants and is single elimination. This means, during each round, half of the players are eliminated.
Write a model to represent the relationship between the number of rounds and the players remaining.
How many players remain after 5 rounds?
What is a reasonable domain for this function?
Exponential word problems.notebook
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March 23, 2017
Exponential Word Problems
Exponential Function
y = abx
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March 23, 2017
Exponential Word Problems
During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of original air left in the lungs if the initial amount of air in the lungs is 500mL. How much of the original air is present after 240 breaths?
Exponential word problems.notebook
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Exponential Word ProblemsGrowth and Decay Model
y = a(1 + r)x
y = a(1 r)x
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March 23, 2017
Exponential Word Problems
You deposit $1000 in a bank. Find the balance after 4 years for each of the following situations.
a) The bank account pays 2.5% annual interest compounded monthly
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March 23, 2017
Exponential Word Problems
A = P(1 + )nt rn
Compound interest formula:
Amount
Principal
interest rate
number of times per year interest is compounded
Time in years
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March 23, 2017
Exponential Word Problems
Compounded:
Yearly
monthly:
quarterly:
weekly:
daily:
n:
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March 23, 2017
Exponential Word Problems
You deposit $1000 in a bank. Find the balance after 4 years for each of the following situations.
b) The account pays 1.25% interest compounded quarterly.
c) The account pays 3% annual interest compounded yearly
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March 23, 2017
Exponential Word Problems
An amount of $1,500.00 is deposited in a bank paying an annual interest of 4.3%. compounded continuously. how much will be in the account after 3 years?
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March 23, 2017
Exponential Word Problems
Compound Continuously Formula
A = PertAmount
Principal natural base ≈ 2.718
interest rate
time in years
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March 23, 2017
Exponential Word Problems
Create a situation for each of the following equations.
y = abxA = Pert
A = P(1 + )nt rn
y = a(1 + r)x
y = a(1 r)x
