Exponential Growth Decay Functions

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

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

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

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 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