Exponential Growth & Decay Functions

What is the correct function for this problem?

Answer explanation

A = Initial amount

R = Growth Rate

T = Time

A = $650,000

R = 4% = 0.04

T = 7 Years

Make sure you correctly convert your % to a decimal.

Tags

CCSS.HSF.LE.A.2

What is the correct function for this problem?

Answer explanation

A = Initial amount

R = Decay Rate

T = Time

A = $35,000

R = 5% = 0.05

T = 8 Years

Make sure you correctly convert your % to a decimal.

Tags

CCSS.HSF.LE.A.2

What does the graph represent?

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.7E

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.2

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.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Write the exponential function for :

 A population of beetles that starts at 50 increases by 65% each year.

Tags

CCSS.HSF.LE.A.2

Write the exponential function for :

  Your heart rate reaches 58 bpm and then increases by 20% each minute.

Tags

CCSS.HSF.LE.A.2

Write the exponential function for :


 An account with $25,000 decreases in value 9% each year.

Tags

CCSS.HSF.LE.A.2

Alex invests in a savings account that increases by  3.50% quarterly. What is the growth/decay factor?

• 1350%= 13.50 

• 96.5% = .965

• 103.50% = 1.035

• 10.35%= .1035

Tags

CCSS.HSF-IF.C.8B