Mix Bag
Growth or Decay
Growth or Decay
Percent Rate
Word Problems
Exponents
100
What is the initial amount and growth factor for the function f(x)=2(3)x
initial amount=2
growth factor= 3
100
How do I know if the exponential relationship below is growth or decay?
y = 3(0.56)x
Decay has a b value or decay factor less than 1.
100
For the exponential function y=15(3)x, what is the factor, and does the function represent growth or decay?
Exponential Growth
Factor: 3
100
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=5(0.5)^x
Exponential Growth
50%
100
2243
100
Simplify
2x5 . 4x4 . y . y2 = ?
8x9 y3
200
Sania invested $19,800 in a savings account that pays an annual interest rate of 5.3%. The savings account is set to compound yearly. How much is in Sania’s account after 9 years?
$31,515.23
200
Do the following equations represent exponential growth, decay, or neither?
a) y=3.5(0.3)x
b) y=2(3)x
c) y=5x+6
a) Decay
b) Growth
c) Neither (It's linear! y=mx+b)
200
Esha invested $27,000 in a savings account that pays an annual interest rate of 1.8%, compounded quarterly. How much is in Esha’s account after 5 years?
About $29,536.74
200
Is this exponential growth or decay?
What is the percent growth/decay rate?
y = 5(1.3)^x
Exponential Growth
30%
200
The population of LeavetownNow is 123,000. Because of a crazy serial killer, the population is decreasing by 2.75% each year. How many people will be in LeavetownNow in 2.5 years?
About 114,717 people
200
Simplify using the Quotient Rule: (-12y7z5/2y2z)
-6y5z4
300
What is the decay factor, if Nico's soccer ball depreciates 9% every day he uses it?
0.91
300
y=2(1.13)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Growth
Rate: 0.13 or 13%
300
f(x)=7(1.07)x
Does this function represent exponential growth or decay? What's the percent growth/decay RATE?
Exponential Growth.
Rate: 0.07 or 7%.
300
Is this exponential growth or decay?
What is the percent growth/decay rate?
y = 1(0.01)^x
Exponential Decay
99%
300
16,941 people
300
Simplify using the Power Rule: 5(g7m2)3
5g21m6
400
The first year of a charity walk to raise money for Mrs. Z's candy fund had an attendance of 500. The attendance rate increases by 5% each year. How many people will attend her charity walk in year 10?
About 814 people
400
y=5(0.97)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Decay
Rate: 0.03 or 3%
400
Does this function represent an exponential growth or decay?
y = 24(0.45)4
Exponential Decay
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y = 1/2(0.7)^x
Exponential Decay
30%
400
When Oliver started at TMS he had 8 friends from SSI. When word got out about how totally rad he is, his friends began doubling every 5 days. How many friends will Oliver have after 30 days?
A = 8 (2)^6
512 friends
400
Simplify
k5.j3 / k2.j
k3.j2
500
Bacteria can multiply at an alarming rate when each new bacteria splits into 2 news cells, thus doubling. If we start with only 1 bacteria which can double every hour, how many bacteria will we have at the end of one day?
16,777,216 bacteria
500
Mrs. Z. purchased a car for $26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
y=26400(.88)3.5=$16,876.92
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5% per year. What will the annual sales be in 6 years? (show the equation and answer)
530,000(1.05)6 =$710,250.69
500
Is this exponential growth or decay?
What is the percent growth/decay rate?
y = 1/2(1.07)^x
Exponential GROWTH
7%
500
If you put $500.00 into an account and the account earns a 3% interest rate compounded monthly. How much will be in the account after 5 years?
Round the nearest cent!
about $580.81
500
Simplify
(p6 / p2)2
p8