Exponential Vocabulary
Growth or Decay and Word Problems
Growth or Decay and Word Problems
Word Problems
100
If, y=a(b)x, What do a and b represent?
a=initial amount/y-intercept
b=multiplier (common ratio)(growth or decay factor)
100
f(x)=2(0.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
100
A bunny population doubles every year. If the starting population is 10, write an exponential function to model the situation.
f(x)= 10(2)x
100
2243
200
Which number is the y-intercept and which is the multiplier for the function f(x)=2(3)x
y-intercept=2
multiplier= 3
200
Use exponential regression to write an exponential function.
Passes through the points (0, 3.5) and (2, 31.5)
y=3.5(3)x
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What will be the cost in 17 years?
$32,313.27
300
What is the y-intercept for the graph below?
y = 1•2^x
300
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
300
f(x)=5(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
300
16,941 people
400
What's the multiplier? (the b value in the equation)
b=2
400
f(x) = 4(0.8)x
What is the percent of decay?
20% decay
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is the function exponential growth or decay? 
Decay
500
What is the difference between linear functions and Exponential functions?
Linear has a constant difference (constant rate of change)
Exponential has a constant multiplier
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. Write an exponential function to model the situation.
f(x) = 26,400(0.88)x
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. Write an exponential function to model the situation.
f(x) = 530,000(1.05)x
500
Is the scenario below linear, quadratic, or exponential?
The population of bacteria halves every hour.
exponential