Linear/Exponential
when x is...
Exponential Growth
Exponential Decay
100
If the function is a straight line.
What is a linear equation
100
f(x) = 2x + 4 when x = 12
What is 28?
100
You start off with 10 frogs. They increase by 10% each year. How many will there be after 1 year?
What is 11 frogs?
100
There are 10 laptops. If every year 10% of them break down, how many laptops will there be after 1 year?
What is 9 laptops?
200
If the function looks like a 'J'
What is an exponential equation
200
f(x) = 2^x when x = 4
What is 16?
200
You put $2,000 in a bank and earn 5% interest every year. If you leave it alone how much money will there be in 10 year?
What is 3,257.79
200
The population is 10,000 people. If the population decreases by 22% every year, how many people will be left after 8 years.
What is 1,934 people?
300
When the y's in a table are being multiplied.
What is an exponential equation
300
f(x) = 4^x when x = -1
What is 1/4
300
The population of a herd of lions increases by 2.6% each year. If there are 40 lions currently, how many lions will there by in 25 years?
What is 75 lions?
300
You buy a car at $27,000. If it depreciates at a rate of 4.8% then what is it worth after 15 years?
What is $12,909?
400
When the you add a certain number to the y's to get the next term.
What is a linear equation?
400
f(x) = 3(2)^x when x = 4
What is 48?
400
The Short Hair rabbit triples in population every generation. If there are 10 rabbits to begin with, how many rabbits will there be in 4 generations?
What is 810 rabbits?
400
Population of 100,000 people. Decreases by half every year. How many after 3 years?
What is 12,500 people?
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