Word Problems
Linear or Exponential
Growth or Decay
True/False
100
In a single elimination tournament starting with 128 teams, half of the remaining teams are eliminated each round. Linear or Exponential?
Exponential
100
Does the table display exponential or a linear model?
Linear; Data has a constant rate of change.
100
Does the graph represent exponential growth or exponential decay?
Exponential decay
100
In an exponential equation, if the base "b" is bigger than 1, then the graph will display exponential decay.
False! If the base "b" is greater than 1, then it will be exponential growth!
200
You play musical chairs where you begin with 32 chairs and you remove 2 chairs each round. Is this Linear or Exponential?
Linear! Constant rate of change.
200
Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.
Linear
200
Does the equation below represent exponential growth or exponential decay?
y=0.5^x
Exponential decay because the base is 0.5 which is less than 1!
200
In an exponential equation, if the base "b" is between 0 and 1, then the graph will display exponential decay.
True! If "b" is between 0 and 1, the graph will be an exponential decay graph!
300
A $7,000 car depreciates at a rate of 8.3% per year. Linear or Exponential?
Exponential.
300
Does the table display exponential or a linear model? 
Exponential; data does not have a constant rate of change, the y-values double (multiply by 2) each tim.
300
Does the equation below represent exponential growth or exponential decay?
y=5(2)^x
Exponential growth because the base is 2 and that is greater than 1!
300
The number of chickens on the farm increases by 3% each year. This is an example of exponential growth.
True!!!
400
The 8 inches of snow melted at a rate of 1.5 inches per hour. Linear or exponential?
Linear
400
Linear or exponential: You set a savings plan for yourself and put $0.50 into your piggy bank. You will doubel the amount saved each day.
Exponential
400
Does the equation below represent exponential growth or exponential decay?
y=2(1.475)^x
Exponential growth because b is greater than 1.
400
When we graph exponential functions, the line should be a straight.
False!