Compound Interest
Exponential function graphs
Exponential Laws
Depreciation
Growth/Decay
100
Tori's initial amount of money was $100 and after 1 year, it became $144. What was the interest rate
What is 44%
100
A famous Japanese arobics game
What is Dance Dance Revolution
100
n^0
What is 1
100
Ally had a $200 volleyball serve but after sooooooo many serves it is now worth $125 a year later. What is the depreciation rate of her serve?
What is 40% but it's still golden :)
100
In the exponential function given below, identify the initial amount and the growth rate. y = 250(1 + 0.2)t
200
An O shaped fried food
What are onion rings
200
Given the transformation from y = 3(2^x) to y = 3(2^x+3). Describe where the function will move on a graph.
What is 3 units left.
200
x^-8/ x^5
What is 1/ x^13
200
Blake is slowly loosing his mojo at a depreciation rate of 15%. He started with $3000 worth of mojo. How much mojo will he have after 30 years?
What is sorry Blake your screwed. you only have $22.8922 of mojo.
200
Main difference between growth/ decay (hint: as x --> infinity, y --> what?)
What is Growth: x-->infinity, y--> infinity Decay: x-->infinity, y--> 0
300
Quinn's drawings start out pretty great. He sells them for $100 per piece. Although, as his fingers get older the art gets worse each drawing. If after every drawing he sells them for 4% less then his last one. How much will he sell his drawing after his 8th work.
What is $72.139
300
Use the equation: f(x) = 2^X. If I want the function to move up 2 units, to the right 5 units, and dilated to a scale factor of 3, what will the equation now look like?
What is f(x) = 3(2^X-5) + 2
300
What is the basketball team in Boston?
What is the Celtics
300
If Elias' car is $32,000 but depreciates by 7% each half year. How much will it be worth 6 years from now.
What is $13395.082
300
What's the difference in an exponential equation between reflecting across y axis or x axis
What is y axis = make x negative x axis = make a negative
400
Gracie has kept $1750 in her bank account to save for horse buying. The money has an interest rate of 3.5% every month. How much money will she have in that account after 2 and a half years from now.
What is $4911.889
400
How do you change an equation to reflect it across the y axis?
What is make x negative. For example, f(x) = 2^x --> 2^-x
400
Write another form of x^2/3
What is 3 square root x^2
400
Who wrote The Metamorphosis
Who is Kafka?
400
Create a table for the equation f(x) = 5000 (0.945)^t. First team gets the point!
What is (do together)
500
Marina started out with $500 in the bank but ended up with $645 after 3 years. What was the interest rate.
What is 8.86%
500
Write an equation that matches these facts: y-intercept: (0,-1) horizontal asymptote: y= 0 dilation scale factor of 4 Then, reflect that over the x axis and make the y intercept 0
What is f(x) = -4^x Next equation: f(x) = (4^x+1) - 4
500
2 times square root (2^4 ) X (3^18/ 3^16)
What is 36
500
In 2000, 50 grams of radium were stored. The half-life of radium is 1,620 years. How many grams of radium remains after 4860 years? Remember, half-life is the amount of time it takes for half of the amount of a substance to decay.
What is y = 50 (1-0.5)^3 = 6.25 grams You can also think of it as, halfing every half-life: 50--> 25-->12.5-->6.25 0 1 2 3 http://www.regentsprep.org/regents/math/algebra/ae7/expdecayp.htm
500
What is the capital of Guam?
What is Hagåtña