Exponential Growth and Decay

Authored by Staci Smith

Mathematics

KG - University

CCSS covered

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17 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

800

0.85

0.15

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

Tags

CCSS.HSF.BF.A.2

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Exponential Growth and Decay

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

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?

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

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

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

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 a year?

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the percentage increase of the population annually?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential Growth and Decay

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

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?

Write an equation that models the following situation:Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

What is a, the starting term, for the function: f(x) = 300(1.16)x?

What is a, the starting term, for the function: f(x) = 800(0.85)x?

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

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

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 a year?

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the percentage increase of the population annually?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the percentage increase of the population annually?