Key Features Expon. f(x)'s
Growth or Decay 1
Growth or Decay 2
Percent Rate
Word Problems
100
In the equation y=a(bx ), what do the variables a and b represent?
a=initial amount/y-intercept
b=multiplier
100
What must be true about the b value if an equation shows decay?
the b is in between 0 and 1
100
A bunny population doubles every 6 months. If the starting population is 10, what is the initial population?
initial population = 10
100
Is this growth/decay? What is the percent of growth/decay?
y=5(0.5)^x
decay
50%
100
The function y=2300(0.995)x models enrollment in a high school, where x is the number of years after 2021. What was the enrollment in 2026?
2243
200
What is the y-intercept and growth factor for the function f(x)=2(3)x
y-intercept=2
growth factor= 3
200
f(x)=0.25(1.3)x
Does this function represent exponential growth or decay? What is the percent of growth/decay?
Exponential Growth
30%
200
In exponential functions, when b>1, does this show growth or decay?
Exponential growth
200
Is this growth/decay? What is the percent of growth/decay?
y=5(1.3)^x
growth
30%
200
The cost of tuition at a college is $12,000 and in increasing at a rate of 6% per year.
What will be the cost in 17 years?
$32,313.27
300
What is the y-intercept? 
y-intercept = (0, 1)
300
f(x)=5(0.93)x
Does this function represent exponential growth or decay? What is the percent of growth/decay?
Exponential Decay
7%
300
f(x)=67(1.07)x
Does this functions represent exponential growth or decay? What's the percent of growth/decay?
Exponential Growth. 7%.
300
Is this growth/decay? What is the percent of growth/decay?
y=(0.01)^x
Decay
99%
300
The population of a town is 18,000 and is decreasing at a rate of 2% per year. What is the population after 3 years?
16,941 people
400
What's the growth factor?
b=2
400
Determine the decay rate.
y=45(0.23)^x
77%
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is this exponential growth or decay?
What is the percent of growth/decay?
y=1/2(0.7)^x
Decay. 30%
400
Is the function exponential growth or decay? 
Decay
500
How are the growth patterns different between linear functions and exponential functions?
Linear has a constant difference (add/subtract)
Exponential has a multiplier (multiply/divide)
500
Ms. Wiggins 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?
about $16,876.92
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?
about $710,250.69
500
Is this growth/decay?
What is the percent of growth/decay?
y=60(1.33)^x
Growth
33%
500
A bunny population doubles every 6 months. If the starting population is 10, what will the population be in 3 years?
640