Part 2 - Exponential Growth & Decay Functions

• Exponential Growth

• Exponential Decay

Answer explanation

This is the formula for exponential growth!

Think of the + sign inside the parenthesis as an indicator that the value will be growing/ increasing!

Remember:

A = Initial amount

R = Rate

T = Time

Tags

CCSS.HSF-IF.C.8B

• Exponential Growth

• Exponential Decay

Answer explanation

This is the formula for exponential decay!

Think of the - sign inside the parenthesis as an indicator that the value will be decaying/decreasing!

Remember:

A = Initial amount

R = Rate

T = Time

Tags

CCSS.HSF-IF.C.8B

What does A, R, and T stand for?

• A = Area

  R = Rate

  T = Time

• A = End Amount

  R = Range

  T = Time

• A = Initial amount

  R = Rate

  T = Time

• A = Area

  R = Range

  T = Time

Answer explanation

Remember:

A = Initial amount

R = Rate (of decay or growth)

T = Time

Rate will typically be presented as a %. Make sure you convert it to a decimal!

Will this be a Exponential Growth or Decay Function?

• Growth

• Decay

Answer explanation

Look for key words!

In this case, the key word is "INCREASING". This indicates our initial amount will be increasing making this a Exponential Growth formula.

Tags

CCSS.HSF-IF.C.8B

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

Will this be a Exponential Growth or Decay Function?

• Growth

• Decay

Answer explanation

Look for key words!

In this case, the key word is "DEPRECIATES". This indicates our initial amount will be decreasing making this a Exponential Decay formula.

Tags

CCSS.HSF-IF.C.8B

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

Find the rent of the apartment in 2017. Use the numbers in the word problem to help creating your function and solve.

• $35,496.38

• $8,029.91

• $20,625,000

• $6,766.65

Answer explanation

Find the value of the car after 3 years. Use the numbers in the word problem to help creating your function and solve.

• $290.67

• $20,253.04

• $29,503.48

• $14,310.91

Answer explanation