Exponential growth/decay and Compounding Interest

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Mathematics

9th - 12th Grade

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Exponential growth/decay and Compounding Interest

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25 questions

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FILL IN THE BLANK QUESTION

30 sec • 1 pt

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

Round to the nearest whole number.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

A pot of soup, currently 62°C above room temperature, is left out to cool. If that temperature difference decreases by 6% per minute, then what will the difference be in 4 minutes?

If necessary, round your answer to the nearest tenth.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

Round to the nearest whole number.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

It is estimated that the population of the world is increasing at an average annual rate of 1.3%. If the 2008 population was about 6,641,000,000 predict the 2020 population.

7,453,435,556 people

6,745,343,556 people

7,754,375,446 people

2,878,556,791 people

Tags

CCSS.HSF-LE.A.1C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "a" represent?

Initial amount

Rate of growth or decay

Time

End amount

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for exponential growth?

$f\left(x\right)=a\left(1-r\right)^x$

$f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF-LE.A.1A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "x" represent?

Initial amount

Rate of growth or decay

Time

End amount

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for exponential decay?

$f\left(x\right)=a\left(1-r\right)^x$

$f\left(x\right)=a\left(1+r\right)^x$

Tags

CCSS.HSF-IF.C.8B

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Exponential growth/decay and Compounding Interest

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

Round to the nearest whole number.

A pot of soup, currently 62°C above room temperature, is left out to cool. If that temperature difference decreases by 6% per minute, then what will the difference be in 4 minutes?

If necessary, round your answer to the nearest tenth.

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

Round to the nearest whole number.

It is estimated that the population of the world is increasing at an average annual rate of 1.3%. If the 2008 population was about 6,641,000,000 predict the 2020 population.

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "a" represent?

What is the formula for exponential growth?

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "x" represent?

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?

What is the formula for exponential decay?

Nathan bought a VERY fancy boat for about $125,000. If the boat's value depreciates at the rate of 15% per year, what is the value of the boat at the end of 10 years?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential growth/decay and Compounding Interest

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.Round to the nearest whole number.

A pot of soup, currently 62°C above room temperature, is left out to cool. If that temperature difference decreases by 6% per minute, then what will the difference be in 4 minutes?If necessary, round your answer to the nearest tenth.

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.Round to the nearest whole number.

It is estimated that the population of the world is increasing at an average annual rate of 1.3%. If the 2008 population was about 6,641,000,000 predict the 2020 population.

Exponential growth is y=a(1+r)xy=a\left(1+r\right)^xy=a(1+r)x , and exponential decay is y=a(1−r)xy=a\left(1-r\right)^xy=a(1−r)x .What does "a" represent?

What is the formula for exponential growth?

Exponential growth is y=a(1+r)xy=a\left(1+r\right)^xy=a(1+r)x , and exponential decay is y=a(1−r)xy=a\left(1-r\right)^xy=a(1−r)x .What does "x" represent?

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?

What is the formula for exponential decay?

Nathan bought a VERY fancy boat for about $125,000. If the boat's value depreciates at the rate of 15% per year, what is the value of the boat at the end of 10 years?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.

Round to the nearest whole number.

A pot of soup, currently 62°C above room temperature, is left out to cool. If that temperature difference decreases by 6% per minute, then what will the difference be in 4 minutes?

If necessary, round your answer to the nearest tenth.

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

Round to the nearest whole number.

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "a" represent?

Exponential growth is $y=a\left(1+r\right)^x$ , and exponential decay is $y=a\left(1-r\right)^x$ .

What does "x" represent?