Exponential Growth and Decay Lesson

Exponential Growth and Decay Lesson

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Created by

James Gonzalez

FREE Resource

42 Slides • 6 Questions

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Multiple Choice

Question image

Is the pictured graph growth, decay, or linear or none?

1

Exponential Growth

2

Exponential Decay

3

Linear

4

None

10

Multiple Choice

Question image

Is this exponential growth or decay?

1

Growth

2

Decay

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15

Multiple Choice

Question image

What is the pattern you see in this table?

1

Common Ratio = 1/3

2

Common Difference = 8

3

Common Ratio = 3

4

Common difference = 3

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Multiple Choice

Question image

What is the equation that represents the exponential function in the image below?

1

y=3(½)^x

2

y=3(2)^x

3

y=(2)^x

4

y=2(3)^x

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Drag and Drop

A typical cup of coffee contains about 100 milligrams (mg) of caffeine. every hour approximately 6% of the amount of caffeine in the body is metabolized and eliminated.

a. What is the initial amount of caffeine consumed in this scenario?

b. What is the rate of growth or the rate of decay?

c. Let C represent the amount of caffeine in the body, in mg, and t represent the number of hours since a cup of coffee was consumed. Write C as a function of t.

Drag these tiles and drop them in the correct blank above

100

0.94

0.6

0.06

C=100(0.94)t

C=6(100)t

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48

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

1

y=5000(0.7)^x

2

y=30(5000)^x

3

y=5000(1.3)^x

4

y=5000x^x

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