Exponential Growth

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.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.3

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.3

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.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

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.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

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.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

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.LE.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.2

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.LE.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?

• .96
• 1.4
• 1.04
• $3000

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.2

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.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1