Exponential Growth and Decay Factors

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

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

• 14327

• 4309

• 839

• 7680

Tags

CCSS.HSF-LE.A.1C

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Tags

CCSS.HSF.BF.A.2

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

• 225

• 325

• 425

• 525

Tags

CCSS.HSF.BF.A.2

• 4
• 3/4
• 4/3
• 3

Tags

CCSS.HSF-IF.C.8B

The equation A= 1300(1.02)⁷ is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?

• 0.02% decay

• 0.02% growth

• 2% decay

• 2% growth

Tags

CCSS.HSF-IF.C.8B

Does the following exponential function have a growth factor or decay factor?

f\left(x\right)=45\left(1.04\right)^x

• Growth Factor

• Decay Factor

Tags

CCSS.HSF-IF.C.8B

What indicates growth or decay in f(x)= a⋅b^x

• If b is positive or negative

• If b is between 0 and 1 OR greater than 1

• If a is positive or negative

• If a is between 0 and 1 OR greater than 1

Tags

CCSS.HSF-IF.C.8B

Which of the following represents the growth factor for an increase of 1% ?

• 101

• 0.99

• 0.01

• 1.01

Tags

CCSS.HSF-IF.C.8B

A radioactive substance decays at a rate of 5% per year. If the initial amount of the substance was 100 grams, how much will remain after 20 years?

• 35.85 grams

• 37.69 grams

• 40.10 grams

• 42.58 grams

Tags

CCSS.HSF.LE.A.4