Name:______________________________________________Date:___________________Period:_____
Algebra1
Assignment51:ExponentialGrowthandDecay
1.Whatletterrepresentstheinitialvaluein𝑦 = 𝑎(𝑏)! ?
2.Whichletterrepresentstimein𝑦 = 𝑎(𝑏)! ?
3.Whatletterrepresentsthegrowthfactorin𝑦 = 𝑎(𝑏)! ?
4.Howdoyoufindthegrowth/decayrate?
Directionsfor#5-8:Determinewhetherthefollowingequationsrepresentexponentialgrowthordecay.
5. 𝑦 = 4
! !
!
6. 𝑦 = 0.5 3
!
7. 𝑦 = 5 1.2
!
8. 𝑦 = 0.75
!
. . . .
Directionsfor9-12:Usethegivenequationstoidentifyallofthepartsoftheexponentialfunction.
9.𝑦 = 0.7
! !
!
𝑎 = __________𝑏 = __________
GrowthorDecay:.
InitialValue:.
GrowthorDecayFactor:. GrowthorDecayRate:. Asymptote:.
Domain:. Range:. 11.𝑦 = 2.1 1.04 ! 𝑎 = __________𝑏 = __________
GrowthorDecay:.
Y-intercept:.
GrowthorDecayFactor:. GrowthorDecayRate:. Asymptote:.
Domain:. Range:. 10.𝑦 = 3 1.8 ! 𝑎 = __________𝑏 = __________
GrowthorDecay:.
Y-intercept:.
GrowthorDecayFactor:.
GrowthorDecayRate:.
Asymptote:.
Domain:.
Range:.
12.𝑦 = 9 0.8 ! 𝑎 = __________𝑏 = __________
GrowthorDecay:.
InitialAmount:.
GrowthorDecayFactor:.
GrowthorDecayRate:.
Asymptote:.
Domain:.
Range:.
Directionsfor#13-16:Determinewhetherthefollowinggraphsrepresentexponentialgrowthordecay.
13.GrowthorDecay:. 𝑎 = _____
114.GrowthorDecay:.
𝑎 = _____
15.GrowthorDecay:. 𝑎 = _____
116.GrowthorDecay:.
𝑎 = _____
17
_____17.Whichofthefollowingexponentialfunctionsisgrowingatarateof0.03?
A. 𝑦 = 0.03 2 ! C. 𝑦 = 3 0.97 ! B. 𝑦 = 2 0.03 ! D. 𝑦 = 4 1.03 ! _____18.Whichofthefollowingexponentialfunctionshasaninitialvalueof5?
A. 𝑦 = 0.2 5 ! C. 𝑦 = 67
! !
!
B. 𝑦 = 5 0.8 ! D. 𝑦 = 1.3 6 ! _____19.Whichofthefollowingexponentialfunctionshasadecayfactorof0.25?
A. 𝑦 = 0.25 4 ! C. 𝑦 = 1.6 0.25 ! B. 𝑦 = 2 1.25 ! D. 𝑦 = 5 0.75 ! _____20.Whichofthefollowingexponentialfunctionshasadecayrateof30%?
A. 𝑦 = 30 0.7 ! C. 𝑦 = 30 0.3 ! B. 𝑦 = 0.3 1.3 ! D. 𝑦 = 0.3 0.97 !