December 13, 2016
6-3: Real World Applications
Growth/Decay
Objectives: I can determine the difference between
exponential growth and decay from an equation or graph
I can calculate exponential growth and decay
Vocab:
growthdecay-
December 13, 2016
Exponential Growth vs. Decay
Determining whether growth or decay from an equation:
December 13, 2016
Statewhetherthefollowingequationsaregrowthordecay
December 13, 2016
Practice converting between decimals and percents:
20% : ________
0.39 : ________
150% : _______
1.23 : ________
4% : _________
0.56 : _________
9.3% : ________
0.034 : ________
1% : _________
0.05 : _________
0.2% : ________
0.003 : ________
0.06% : _______
0.0008 : _______
December 13, 2016
Theequationthatmodelsexponentialgrowth/decayis:
a
r
y
t
December 13, 2016
Identifythefollowingsituationsasgrowthordecay:
a)In2008thetownof@latcreekhadapopulationofabout280,000andagrowth
rateof0.85%peryear.
b)Duringaneconomicrecession,acharitableorganizationfoundthatitsdonations
droppedby1.1%peryear.Beforetherecession,itsdonationswere$390,000.
c)In2000,2200studentsattendedPolarisHighSchool.Theenrollmenthasbeen
declining2%annually?
December 13, 2016
Example1:Acollege’stuitionhasrisen5%eachyearsince2000.The
tuitionin2000was$10,850.
a)Writeanequationtorepresenttheamountofthetuitiontyearsafter
2000.
b)Howmuchwilltuitioncostforthoseattendingcollegein2015?What
about2018?
December 13, 2016
Example2:Theprizeforaradiostationcontestbeginswitha$100gift
car.Onceaday,anameisannounced.Thepersonhas15minutestocallor
theprizeincreasesby2.5%forthenextday.
a)Writeanequationtorepresenttheamountofthe@irstcardindollars
aftertdayswithnowinners.
b)Howmuchwillthegiftcardbeworthifnoonewinsafter10days?
December 13, 2016
Example3:Afullyin@latedchild’sraftforapoolislosing6.6%ofitsair
everyday.Theraftoriginallycontained4500cubicinchesofair.
a)Writeanequationtorepresentthelossofair.
b)Estimatetheamountofairintheraftafter7days.
December 13, 2016