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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
Increasing followers on Instagram
How many followers will you have after 2 weeks? 5 weeks? 8 weeks?
Number of friends after 2 weeks = Number of friends after 5 weeks =Number of friends after 8 weeks =
Exponential growth
: The number of friends is increasing at exponential rate over time.
After creating your account, the first week
you have two new followers. Every week, the number
of followers you have doubles.
Decreasing Value of Your Car
What will the value of your car be after 2 years? 5 years? 8 years?
Car value after 2 years = Car value after 5 years =Car value after 8 years =
Exponential decay
: The car value is decreasing at exponential rate over time.
After buying your car for $18,000, the value decreases by 15% each year.
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
0
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
Graph the following.
X Y
3
2
1
0
1
2
Growth or Decay?
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
Graph the following.
X Y
3
2
1
0
1
2
Growth or Decay?
Exponential GROWTH Exponential DECAY
Please add this to your Study Guide
*never touches the xaxis
*bvalue is greater than 1
*never touches the xaxis
*bvalue is between 0 and 1 (smaller than 1)
y = a bx
b = 1 + rate (as decimal)
y = a bx
b = 1 rate (as decimal)x = time
x = time
a = initial value
a = initial value
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
Exponential GROWTH Exponential DECAY
Please add this to your Study Guide
*never touches the xaxis
*bvalue is greater than 1
*never touches the xaxis
*bvalue is between 0 and 1 (smaller than 1)
y = a bx
b = 1 + rate (as decimal)
y = a bx
b = 1 rate (as decimal)x = time
x = time
a = initial value
a = initial value
You bought a sculpture in 1985 for $380. It i
ncreases in value by 8% each year. What is the value in 1990? 2000?
Is it Decay or Growth?
Equation for Exponential:
y = a bx
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
A new car in 1990 cost $20,000. The value decreases 16% every year. What is the value in 1996? 1998?
Is it Decay or Growth?
Equation for Exponential:
A house originally cost $20,000 in 1950. The value i
ncreased 5% a year to 1995. What is the value in 1995?
Is it Decay or Growth?
Equation for Exponential:
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U6L3 Exponential Growth & Decay NOTES
Algebra 10 Mrs. Kisslinger
Algebra 10
U6L3 Worksheet
Exponential Growth & Decay
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