Download in
Google Play
Exponential Functions
19
Share
Save
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Section 4.1 Exponential Functions f(x)= a.b* is an exponential function with base b. If bal we have exponential growth. b is the growth factor, b-1 is the growth rate.. Ex. f(x) = 51.1 growth rate is 1.1-1=0.1 or 10% If 0<b<1 we have exponential decay. b is the decay factor, 1-b is the decay rate. Lab X Ex. 3.0.7 decay rate is 1-0.7= 0.3 or 30%EN, DONDOOMOD 10% COUNTING? Ex Linear: Exponential: XO1 2 3 у 5 10 20 чо Ex. A city has 75,000 people now and grows at a rate of 3% per year. P(t)=a.b₁ AASTING X 5 10 15 20 y 1 2 3 4 what is the exponential growth factor ? b = 1+0.03= 1.03₁ P(t) = 75 000 1.03 what will the population be in 8 years? t=8, P (8) = 75 000 1.03 = 95 008 . Ex. A car depreciates in value at a rate of 10% per year. If it's worth $19000 now how much will it be worth in 5 years? A = a·b b=1-0.1=0.9₁ A (t) = 190005 = $11,219.31 bo Ex. Find an exponential function y=a.b* that passes through: Wa=a= a)(0,7) and (2,63) b)(0,8) and (3,1) x,y 19 La y=8-b²² 3 1 = 8.6 (²)³ = (6³) ³ 1/1/2=b y-int is a y = 7.6* 2 63= 7.6² √a = √b² 3=b y = 7.3* y = 8 ( ²2 ) * Ex. A radioactive substance weighs 250 mg (0,250) now and will weigh 125 mg in...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
10 hours 10, 125). How much will be left in 16 hours ? 10 y = 250-0.93316 y =82.42 mg 423000 = 410000.6³ (1.0137) = (b) 1.0105=b 125 = 250. ·b" (b¹0) Fo To 0.5 = 0.933 = b Ex. A house is worth $410,000 now and is projected to be worth 423,000 in 3 years. years? what will it be worth in 10 = 410 000 b y = 410 000 1.015¹0 y $475,821.74 : . Section 4.1 Exponential Functions: Part 2/continued P=a·b & growth factor growth factoranox SECON Cinitial valuesult 2: 1-3 dat die lands A = a·b ²₁ decoy factor decay factor manbaks skad Linitial values act or del od wd Formulas for compound intrest: 20=ro-1 al sito int FV = P ( 1 + 1 )h² n FV = future value P = present value r= intrest value n = # of compoundings per year years t = # of FV=Pe' e≈ 2.71828 X 85 E المنسية was bol to store to suloy ni Ratoban continuous compounding the all of wow on then rt S J to eWORLD ANG Wom sigusa 100 c itwong whithamlogko 800 2PF 101.000 2K # hads "dad de prodhad hindrana 48
Exponential Functions
19
Share
Save
Maria Hernandez
109 Followers
Comments (1)
Exponential growth and decay word problems and formulas.
Maria Hernandez
109 Followers
Exponential growth and decay word problems and formulas.
Similar Content
0
Logistic models - Flashcards
0
Modeling with Exponential Functions - Flashcards
0
3.5 Exponential and logarithmic Model - Flashcards
0
Quick review of logarithms, basic functions, etc. - Flashcards
0
Section 5.8 - Flashcards
105
Differential Equations Notes
This is a complete notes of differential equations with applications.
Section 4.1 Exponential Functions f(x)= a.b* is an exponential function with base b. If bal we have exponential growth. b is the growth factor, b-1 is the growth rate.. Ex. f(x) = 51.1 growth rate is 1.1-1=0.1 or 10% If 0<b<1 we have exponential decay. b is the decay factor, 1-b is the decay rate. Lab X Ex. 3.0.7 decay rate is 1-0.7= 0.3 or 30%EN, DONDOOMOD 10% COUNTING? Ex Linear: Exponential: XO1 2 3 у 5 10 20 чо Ex. A city has 75,000 people now and grows at a rate of 3% per year. P(t)=a.b₁ AASTING X 5 10 15 20 y 1 2 3 4 what is the exponential growth factor ? b = 1+0.03= 1.03₁ P(t) = 75 000 1.03 what will the population be in 8 years? t=8, P (8) = 75 000 1.03 = 95 008 . Ex. A car depreciates in value at a rate of 10% per year. If it's worth $19000 now how much will it be worth in 5 years? A = a·b b=1-0.1=0.9₁ A (t) = 190005 = $11,219.31 bo Ex. Find an exponential function y=a.b* that passes through: Wa=a= a)(0,7) and (2,63) b)(0,8) and (3,1) x,y 19 La y=8-b²² 3 1 = 8.6 (²)³ = (6³) ³ 1/1/2=b y-int is a y = 7.6* 2 63= 7.6² √a = √b² 3=b y = 7.3* y = 8 ( ²2 ) * Ex. A radioactive substance weighs 250 mg (0,250) now and will weigh 125 mg in...
Section 4.1 Exponential Functions f(x)= a.b* is an exponential function with base b. If bal we have exponential growth. b is the growth factor, b-1 is the growth rate.. Ex. f(x) = 51.1 growth rate is 1.1-1=0.1 or 10% If 0<b<1 we have exponential decay. b is the decay factor, 1-b is the decay rate. Lab X Ex. 3.0.7 decay rate is 1-0.7= 0.3 or 30%EN, DONDOOMOD 10% COUNTING? Ex Linear: Exponential: XO1 2 3 у 5 10 20 чо Ex. A city has 75,000 people now and grows at a rate of 3% per year. P(t)=a.b₁ AASTING X 5 10 15 20 y 1 2 3 4 what is the exponential growth factor ? b = 1+0.03= 1.03₁ P(t) = 75 000 1.03 what will the population be in 8 years? t=8, P (8) = 75 000 1.03 = 95 008 . Ex. A car depreciates in value at a rate of 10% per year. If it's worth $19000 now how much will it be worth in 5 years? A = a·b b=1-0.1=0.9₁ A (t) = 190005 = $11,219.31 bo Ex. Find an exponential function y=a.b* that passes through: Wa=a= a)(0,7) and (2,63) b)(0,8) and (3,1) x,y 19 La y=8-b²² 3 1 = 8.6 (²)³ = (6³) ³ 1/1/2=b y-int is a y = 7.6* 2 63= 7.6² √a = √b² 3=b y = 7.3* y = 8 ( ²2 ) * Ex. A radioactive substance weighs 250 mg (0,250) now and will weigh 125 mg in...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
10 hours 10, 125). How much will be left in 16 hours ? 10 y = 250-0.93316 y =82.42 mg 423000 = 410000.6³ (1.0137) = (b) 1.0105=b 125 = 250. ·b" (b¹0) Fo To 0.5 = 0.933 = b Ex. A house is worth $410,000 now and is projected to be worth 423,000 in 3 years. years? what will it be worth in 10 = 410 000 b y = 410 000 1.015¹0 y $475,821.74 : . Section 4.1 Exponential Functions: Part 2/continued P=a·b & growth factor growth factoranox SECON Cinitial valuesult 2: 1-3 dat die lands A = a·b ²₁ decoy factor decay factor manbaks skad Linitial values act or del od wd Formulas for compound intrest: 20=ro-1 al sito int FV = P ( 1 + 1 )h² n FV = future value P = present value r= intrest value n = # of compoundings per year years t = # of FV=Pe' e≈ 2.71828 X 85 E المنسية was bol to store to suloy ni Ratoban continuous compounding the all of wow on then rt S J to eWORLD ANG Wom sigusa 100 c itwong whithamlogko 800 2PF 101.000 2K # hads "dad de prodhad hindrana 48