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Exponential Growth and Decay “Word Problem Format”
Sec 10.6 Sol: AII.19
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Exponential Decay Time Rate % *change to a decimal* End result
Start with
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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?
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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.
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Exponential Growth Time Rate % *change to a decimal* End result
Start with
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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?
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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?
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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.
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Assignments: Classwork: WB pg 140 Homework: pg All
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