Growth
The number of bacteria on a bathroom floor is quadrupling after every hour. Write the growth factor for this situation.
What is 4?
A population of bacteria decreases each day and is modeled by the equation f(x)=52(.90)x
By what percentage is the bacteria decreasing each day?
What is 10%
Write a function rule for the set of values.
3, 9, 27, 81
What is f(x)=3(3)x ?
Write what 'a' represents for the function f(x)=a(b)x.
What is the y-intercept or starting value?
Write a function rule to model the situation. A population of 3,000 bacteria is doubling after every hour.
What is f(x)=3000(2)x ?
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 12%. Write the growth factor for the situation.
What is 1.12?
A pond was originally filled with 39,000 gallons of water. Each year, the pond loses a percentage of its total volume of water. The function rule that models this situation is f(x) = f(x)=39,000(.75)x
What percentage of water is lost each year?
What is 25%
Write a function rule for the set of values.
15, 30, 60, 120
What is f(x)=15(2)x ?
Write three words or phrases that describe what 'b' represents for the function f(x)=a(b)x, when 0<b<1.
What is the multiplier, the rate of change, the decay factor?
Write a function rule to model the situation. A city's population of 478,000 people increases by 7% each year.
What is f(x) = 478,000(1.07)x ?
The population in Smyrna is presently 72,800. Smyrna grows at an annual rate of 3%. Write the exponential growth equation for the situation.
What is f(x)=72,800(1.03)x
A car that was bought for $82,750 is depreciating every year by 17%. Write the decay factor for this situation.
What is 0.83?
Write a function rule for the set of values.
40, 10, 2.5, 0.625
What is f(x)=40(0.25)x ?
Write three words or phrases that describe what 'b' represents for the function f(x)=a(b)x, when b>1.
What is the multiplier, the rate of change, the growth factor?
Write a function rule to model the situation. The fish in The Magic Forest Lake were declining at an annual rate at 6%. Their current number is estimated at 2500.
What is f(x)=2500(.94)x ?
The population of a town after every year is modeled by the function f(x)=38,940(1.081)x .
By what percentage is the population growing each year?
What is 8.1%?
The number of fish is a lake can be modeled by the function f(x)=62,386(.85)x fish in a lake.
What percentage of fish are dying each year?
What is 15%
Write a function rule for the set of values.
20, 30, 45, 67.5
What is f(x)=20(1.5)x ?
This vocab word is used to describe the horizontal line that an exponential function gets close to, but never crosses it.
What is an asymptote?
Write a function rule to model the situation. The value of a car originally worth $64,325 depreciates by 11% every year.
What is f(x)=64,325(0.89)x ?
The amount of money in a savings account is modeled by the function f(x)=18,937(1.0235)x. Determine the interest rate that the bank is giving its customer.
What is 2.35%?
The number of carbon atoms in a fossil can be modeled by the function f(x)=98,500(.99)x.
By what percentage are the carbon atoms decreasing?
What is 1%?
Write a function rule for the set of values.
6, 18, 54, 162
What is f(x)=6(3)x ?
Repeated multiplication is modeled by what type of function?
What are exponential functions?
Write a function rule to model the situation. The value of a house originally worth $532,000 is increasing by 2.7% after every year.
What is f(x) = 532,000(1.027)x ?