Rules To Live By
Common Ratios
Work Those Exponential Brains
Exponentials as Functions
Using Exponential Functions
100
When multiplying like bases, this is what you do to the exponents.
What is add them
100
This is how exponential functions increase or decrease
What is through multiplication
100
When simplified, the result of 25x5/10x2
What is 5x3/2
100
How the graph of a pool that started with 1200 gallons of water, being drained of water exponentially would appear
What is a curve downward with a start on the y-axis at 1200
100
The amount of money earned after a beginning deposit of $135 in a 9 month CD earning 4.5% interest written as an exponential function and answer.
What is s(9) = 135(1.045)9 = $200.62
200
(x5)3
What is x15
200
How this expression can be re-written with exponents: x*x*x*x*y*y*y
What is x4y3
200
When simplified, the expression 12c2/4c8 becomes
What is 3/c6
200
How the graph of the function f(x) = 2x + 3 differs from and is the same as the graph of g(x) = 3(2)x
What is a difference of f(x) is a straight line and g(x) is an exponential curve with the same y-intercept
200
An exponential function with a starting value of 12 has increased to 27 by day 3 with the rate rounded to the nearest hunderedth.
(0,12) and (3,27) in stat f(x) = 12(1.31)x
300
When like bases raised to a power is being divided
What is subtract the top exponent minus bottom exponent
300
When you start with 12 bacteria that increase by doubling every hour, this is how many you would have after 12 hours
What is 49,152 bacteria
300
The reason why the answers to 2x0 and (2x)0 are different is
What is in 2x0 only the x has the power of 0 so it would be 2*1 = 2 whereas (2x)0 the whole term is being raised to the power of 0 so it would equal 1
300
The increase in Kevin's raise at work if he earns $300 per week and he is getting a raise of 12%
What is $36
300
The exponential function from the data, at 0 days there are 12 flies on a piece of meat in a jar and by day 5, there are 384 flies.
What is y=12(2)x
400
To make sure an exponent is positive
What is negative exponents are re-written to have the base and exponent in the denominator position of a fraction and made positive
400
When combined, the simplification of the expression w2wx-4
What is wx-2
400
When simplifying the expression 25*53. Using 5 as a base
What is 52*53 = 55
400
124 decreased by 7.5%
What is 114.7
400
What is y=3(1/3)x
500
1
What is the answer to any number or variable raised to the zero power
500
When simplified, the expression (x2)w+3
Whay is x2w+6
500
The simplified version of 24x3y/3xy4
What is 8x2/y3
500
Kevin expected his salary to go up by 5% from his monthly salary of $1600. His next paycheck was worth $1750. The error was made by Kevin or his boss and prove it.
What is his boss as 1600(1.05) = $1680, not $1750
500
The person who will be better off at the end of the month if given the following options, and why. May has 31 days)
1. earn $100 each day for every day in the month of May.
2. earn $1 on the first day of May and double that every day after.
What is 2 because at 31 days person 1 has $3100 and person 2 has $1,073,741,824