Vocabulary
Define: Exponential Growth
Growth that becomes more rapid in proportion to the growing total number or size.
What is the formula used for exponential growth?
y=ab^x
What is the formula we use for Exponential decay?
y = ab^x
3, 6, 9, 12, 15
Arithmetic Sequence
What is the longest river in the world?
The Nile
Define: Exponential Decay
Decreases at a rate proportional to its original value.
Jesse has 6 rabbits at the beginning of January. Every month, each pair has 4 babies.
How many babies would Jesse have in 4 months?
768 babies.
A ball was dropped from an apex of 150cm and had a rebound height of 117cm. What is the rebound ratio (multiplier)?
0.78
What kind of sequence is the following?
4, 16, 36, 64
Recursive Sequence
Name all of the great lakes.
Superior, Huron, Michigan, Erie, Ontario
Define: Apex
The highest point of a shape, graph, line, etc.
Kelly has 2 rabbits and every month each pair has 4 babies.
Mili has 10 rabbits and every month each pair has 2 babies.
Macy has 6 rabbits and every month each pair has 8 babies.
WITHOUT using a calculator, who would have the most babies in 6 months, and why?
Macy would have the most because he has the highest multiplier.
A ball was dropped from an apex of 100cm with a rebound ratio (multiplier) of 0.8. What is the height of the ball after 3 bounces?
51.2cm
Which formula do we use for geometric sequences?
y = ab^x
Which war had the greatest number of United States casualties?
The Civil War.
Define: Geometric Sequence
A sequence that multiplies or divides by a constant.
4b^3 = 500. Solve for b.
b=5
A ball was dropped from an apex of 200cm. By the fourth bounce the ball had a rebound height of 25.92cm. What is the rebound ratio (multiplier)?
0.6
The following sequences represent the amount of money in a bank account every month.
Bank A: 100, 200, 400, 700
Bank B: 150, 450, 750, 1050
Which bank will have more money at 6 months?
Bank B = $1650 Bank A = $1600
How many keys are on a standard piano?
88
Define: Continuous Data
Can be measured. Input values can be a whole number, fraction, or decimal.
Months: 0, 1, 2, 3
Rabbits: 4, 12, 36, 108
Write an equation for this sequence.
y = 4(3)^x
250
T(n) = 12(4)^x
Can T(n) = 12,288?
If yes, what does x=?
Yes! x = 5
What is the name of Elon Musk's and Grimes' first child?
X AE A-12