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Exponential Growth and Decay “Word Problem Format”

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Presentation on theme: "Exponential Growth and Decay “Word Problem Format”"— Presentation transcript:

1 Exponential Growth and Decay “Word Problem Format”
Sec 10.6 Sol: AII.19

2 Exponential Decay Time Rate % *change to a decimal* End result
Start with

3 A cup of coffee contains 130mg of caffeine
A cup of coffee contains 130mg of caffeine. If coffee is eliminated from the body at a rate of 11% per hour, how long will it take for half of this caffeine to be gone from the body?

4 A new car costs $25,000. The value of the car decreases by 15% each year.
Write an exponential decay model giving the car’s value (y) in dollars after (t) years. Estimate the value after 4 years. Estimate the time it will take for the car to have a value of $8000.

5 Exponential Growth Time Rate % *change to a decimal* End result
Start with

6 In 1910, the population of a city was 120,000
In 1910, the population of a city was 120, Since then , the population has increased by exactly 1.5% per year. If the population continues to grow at this rate, what will the population be in 2010?

7 In 1970, the population of kern county was about 330,000
In 1970, the population of kern county was about 330,000. From 1970 to 200, the county’s population grew at a average annual rate of 2.4%. Write the exponential growth equation. How many people would live in Kern county in 1990?

8 A virus attacks a computer in 120 minutes
A virus attacks a computer in 120 minutes. The virus grows from 40 to 326MB. Using the growth formula y = aekt, find the constant rate of the virus.

9 Assignments: Classwork: WB pg 140 Homework: pg All


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