Exponential Growth and Decay

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

What is the initial value for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

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=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1400(.09)^x

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=5000(0.3)^x

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.7.RP.A.3

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?

• 5000

• 9006

• 9766

• 5433

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.7.RP.A.3

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

• $3122.18
• $4994.50
• $4440.73
• $86,776.40

Tags

CCSS.HSF.BF.A.2

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 1980. What is the percentage increase of the population annually?

• 720,500%

• 102.2%

• 2.2%

• 22%

Mr. Davis purchased his home for $160,000 in 2004. Since then, the value of the home has increased about 5% per year. How much will the home be worth in 2024?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80