Growth or Decay/Linear or Exponential
y=3(5)x
Exponential Growth
State the Law(s) of Exponents Applied
(x3)2
Power Law
y=5(4/3)x
Initial Value: 5
Constant ratio: (4/3)
(0,10), (1,5), (2,2.5)
y=10(1/2)x
Linear or Exponential
The base fee for a movie rental service is $5. Every movie rented is $0.50.
Linear
State the Law(s) of Exponents Applied
(x2*x8)/x3
Product and Quotient Law
y=-3(3)x
Constant Ratio: 3
(0,4), (1,12) ,(2,36)
y=4(3)x
y=2(3/2)x
Exponential Growth
Rewrite the expression and state the Law(s) of Exponents applied.
x(2/3)
cubic root of x to the second
Exponential/Rational Law
(-2,5),(-1,15)(0,45)(1,135)
Constant Ratio: 3
First Point (0,-2)
Second Point (1, -8)
y=-2(4)x
(-1,81), (0,27), (1,9), (2,3)
Exponential Decay
State the Law(s) of Exponents and simplify
x-2
Negative Law
1/x2
(-1,70), (0,7), (1,7/10), (2,7/100)
Initial Value: 7
Constant Ratio: (1/10)
A tournament starts with 5000 people. Each round, the number of participants remaining is cut down to a fourth.
y=5000(1/4)x
Linear or Exponential/Growth or Decay
A man is training to run a marathon. On day one, he runs for five minutes. The next day he runs twice as long. The third day he runs twice as long as the second.
Exponential
Exponential Growth
State the Law(s) of Exponents applied and simplify
(x3*x0*x1)/y2
Zero Law, Identity Law, and Product Law
x4/y2
A cell splits itself into two new cells every hour. After 6 hours, there are 64 cells.
Initial Value: 1
Constant Ratio: 2
You receive $50 for the holidays. You decide to open a bank account and put the $50 in. Each year, you earn 5% simple interest.
y=50(1.05)x