Algebra II: Exponential Growth & Decay Models

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $9,011.94

• $22,848.80

• $23,635.20

Tags

CCSS.HSF-LE.A.1C

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 1,188,311 people

• 22,972 people

• 1,169,030 people

• 1,741,992 people

Tags

CCSS.HSF-LE.A.1C

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (1.05)^x

• y = 30,010e^.05x

Tags

CCSS.HSF.LE.A.2

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

• 
• 
• 

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• 104%

• 140%

• 40%

Tags

CCSS.HSF-LE.A.1C

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1400(1.09)^x

• y=1400e^.09x

Tags

CCSS.HSF.LE.A.2

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990?

• 6191

• 104

• 1990

• 4

How often is interest compounded per year?

• monthly

• daily

• quarterly

• annually

• 2%

• 24%

• 76%

• 176%

Tags

CCSS.HSF-IF.C.8B

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=5000e^.3x

Tags

CCSS.HSF.LE.A.2