Key Features
Growth and Decay
Rate and Factor
Word Problems
Miscellaneous
100
If, y=a(b)x , What do the variables represent?
a=initial amount/y-intercept
b=multiplier (common ratio)
100
Growth or decay?
y=3(0.5)x
decay
100
What is the growth/decay factor?
y=5(0.5)^x
0.5
100
2243
100
A species of extremely rare, deep water shrimp are slowly becoming extinct. The formula to represent the decrease monthly in the shrimp population is, 917(0.94)^x . If the initial amount of shrimp is 917, how many shrimp will there be in a half of a year?
(Round to the nearest whole number)
633
200
What is the y-intercept and common ratio for the function f(x)=2(3)x
y-intercept=2
common ratio= 3
200
Growth or Decay?
y=3.5(3)x
growth
200
What is the growth/decay factor?
y=5(1.3)^x
1.3
200
What will be the cost in 17 years?
$32,313.27
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
300
What is the y-intercept?
y-intercept = (0, 1)
300
f(x)=2(.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
300
What is the growth/decay rate?
y=(0.01)^x
99% Decay
300
16,941 people
300
f(x)=-4(1.07)x
Does this functions represent exponential growth or decay?
Exponential Growth.
400
What is the asymptote of the exponential function?
0
400
Growth or Decay?
A town with an initial population of 1,400 people and an annual growth rate of 1.25%
growth
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay. 30%
400
Brooke was born in 1989. She was given a total of $950 to invest. Her parents found a bank which guaranteed a rate of 4.95% interest compounded monthly. The full amount of $950 was deposited in this bank. Determine the total amount of money in his account in 2020.
4393.17
400
What is the asymptote of the function?
y=-2(4)x+1
1
500
What is the range of the given exponential function?
y>0
500
Growth or Decay?
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%.
Decay
500
What is the percent growth/decay rate?
y=60(1.33)^x
33% Growth
500
If you put $500.00 into an account and the account earns 3% interest each year. How much will be in the account after 5 years?
$579.64
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69