5.3 exponential growth and decay

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%.

How would you write your decay factor, b?

• -5

• -0.05

• 0.95

• 0.05

Tags

CCSS.HSF-LE.A.1C

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• 0.08

• 1.08

• 0.92

• 8

Tags

CCSS.HSF-IF.C.8B

Which of the following equations shows an initial amount of $15 and an increase of 35% each year?

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Tags

CCSS.HSF.LE.A.2

Classify the model as exponential growth or decay.

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

James’ 70 inch giant peach doubles in size every week. Which expression would represent how big the peach is after 5 weeks?

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Tags

CCSS.HSF.BF.A.2

Model the following situation.

Samantha’s hair grows very rapidly. It began at a length of 6 inches and grew at a rate of 14% a week.

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Tags

CCSS.HSF.LE.A.2

A culture of bacteria begins with 5000 cells and dies by 30% each year. Model this.

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Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is

expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been

increasing at a rate of 3% each month. How many people will attend by the end of the year?

• 356

• 265

• 5825

• 1329

Tags

CCSS.HSF.BF.A.2

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by

29%. What is the multiplier in this problem?

• 1.29

• 0.71

• 0.29

• 1.71

Tags

CCSS.HSF.BF.A.2