Exponential Decay and Growth Lesson

Multiple Choice

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Multiple Choice

Is this exponential growth or decay?

• Growth
• Decay

Multiple Choice

What is the pattern you see in this table?

• Common Ratio = 1/3
• Common Difference = 8
• Common Ratio = 3
• Common difference = 3

Multiple Choice

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

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

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? ​

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

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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. ​

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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

Multiple Choice

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x