Rational Exponents
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Logistic Functions
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Applications
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Percent Rate
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Logarithmic Functions
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100
The simplified value, without exponents.
27^(2/3)
What is 9?
100
The growth limit to
y=5/(1+8*0.2^x)
What is 5?
100
What is 2243?
100
The percent of and type of exponential (growth/decay)
y=5(0.5)^x
What is 50% decay?
100
log232
What is 5?
100
The artist known to perform "All I want for Christmas is You"
Who is Mariah Carey?
200
The fully simplified expression without exponents
4^(-3/2)
What is 1/8?
200
The y-intercept (no graphing allowed) of
y=5/(1+8*0.2^x)
What is
5/9?
200
The cost of tuition in 17 years.
What is $32,313.27?
200
The percent of and type of exponential (growth/decay)
y=5(1.3)^x
What is 30% growth?
200
log5(1/25)
What is -2?
200
The next 12 words in the song: "Then one foggy Christmas Eve, Santa came to say..."
What is "Rudolph with your nose so bright, won't you guide my sleigh tonight"?
300
The fully simplified form of
1/(36^(-1/2)
What is 6?
300
The limit of growth and y-intercept of
y=10/(1+0.5^x)
What is 10, and 10?
300
What is 16,941 people?
300
The percent of and type of exponential (growth/decay)
y=(0.01)^x
What is 99% decay?
300
lne5
What is 5
300
The approximate amount that Americans spend on Christmas each year.
What is $1000?
400
The fully simplified expression without rational exponents.
(-1/27)^(-2/3)
What is 9?
400
The logistic function with an initial value=10, growth limit=40, and passes through (1,20)
What is
y=40/(1+3*(1/3)^x?
400
An aquarium contains fish with a carrying capacity represented by the logistic model below. The initial amount of fish in the tank.
P(t)= 1200/(1+49e^(-0.08t)
What is 24?
400
The b value when the rate of growth is 0.035%
What is 1.00035?
400
If log x = 3, x=
What is 1000
400
The number of holidays in December according to the Interfaith Calendar.
What is 14, 15 or 16?
500
The fully simplified expression written without rational exponents.
(8^(2/3))^(-1/2)
What is 1/2?
500
The logisitic model of the form
y=c/(1+a*b^x)
that goes through the points (0,2) and (1,10/3) with horizontal asymptotes at 0 and 6.
What is
y=6/(1+2*0.4^x)?
500
An aquarium contains fish with a carrying capacity represented by the logistic model below, where P represents the population of the tank, and t represents time in days. The time when the tank will have 1000 fish (to the nearest whole)
P(t)= 1200/(1+49e^(-0.08t)
What is 69 days?
500
The b value when the rate of decay is 0.65%
What is 0.9935?
500
10log (0.5) =
What is 0.5?
500
The height of the World Record setting snowman.
What is 38 meters, or 124.8 feet?