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Day 6 Applications of Exponential Functions Notes.notebook
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March 26, 2018
Warm-Up 3/26/18Which graph represents and exponential function? Find the A and the B of the exponential function.
A B
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Which of the following is not an exponential function? Find the A and the B of each exponential function.
A B
C D
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Which table of values represents an exponential function? Find the A and the B of the exponential function.
A B
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Essential Question 3/26/18
• How can I use exponential functions to model real-world situations?
Learning Objective• I can use exponential
functions to model real-world situations.
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Pages 21 - 24
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Review Percents to Decimals
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Growth or Decay?
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Growth/Decay Models
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Factors versus Rates
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Factors vs Rates
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Example 2
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Example 3
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Example 4
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Example 5
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Example 6
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Compound Interest
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Example 1
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Example 2
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Example 3
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Class Work (#1-8) 3/26/18
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Directions: Create an exponential growth/decay model and use it to solve each problem. Make sure your model problem is in simplified form (y = abx) 7) A new SUV depreciates at a rate of 23% per year. If the original selling price was $30,000, how much will the vehicle be worth after 4 years? Model: ________________________
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8) Two bacteria are discovered at the bottom of a shoe. If the bacteria multiply at a rate of 34% per hour, how many bacteria will be present after 48 hours? Model: ________________________
Home Work: #9 - 13
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Class Work # 1 - 4
Home Work # 5 - 8
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Directions: Create an exponential model and use it to solve each problem. Example 1: Russell’s health and fitness blog is really taking off. The blog had 45,000 commenters this month and the number of commenters has consistently gone up by 10% per month. How many commenters can Russell expect to have in 5 months
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Example 2: A pot of soup, currently at 84 C is left out to cool. If that temperature decreases by 5% per minute, what will the temperature be in 5 minutes? °
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Example 3: The population of a small town started at 233 people in 1999. If the population grows at a rate of 16% per year, how many people are now in the town in 2006
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Example 4: $3000 is deposited in an account that pays 4% annual interest compounded monthly. How much will be in the account after 20 years?
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Closing:
If there is a % change, the base is (_____) for growth and (_____) for decay.
What's going to be the base of your exponential in the following cases?
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1. 20% increase 2. 15% decrease
3. 8% increase 4. 4% decrease
5. 12.5% increase 6. 42.5% decrease
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