Exponential Review

Growth or Decay/Linear or Exponential

100

y=3(5)^x

Exponential Growth

200

Linear or Exponential

The base fee for a movie rental service is $5. Every movie rented is $0.50.

Linear

300

y=2(3/2)^x

Exponential Growth

400

(-1,81), (0,27), (1,9), (2,3)

Exponential Decay

500

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

Laws of Exponents

100

State the Law(s) of Exponents Applied

(x³)²

Power Law

200

State the Law(s) of Exponents Applied

(x²*x⁸)/x³

Product and Quotient Law

300

Rewrite the expression and state the Law(s) of Exponents applied.

x^(2/3)

cubic root of x to the second

Exponential/Rational Law

400

State the Law(s) of Exponents and simplify

x^-2

Negative Law

1/x²

500

State the Law(s) of Exponents applied and simplify

(x³*x⁰*x¹)/y²

Zero Law, Identity Law, and Product Law

x⁴/y²

Initial Value and Constant Ratio

100

y=5(4/3)^x

Initial Value: 5

Constant ratio: (4/3)

200

y=-3(3)^x

Initial Value: -3

Constant Ratio: 3

300

(-2,5),(-1,15)(0,45)(1,135)

Initial Value: 45

Constant Ratio: 3

400

(-1,70), (0,7), (1,7/10), (2,7/100)

Initial Value: 7

Constant Ratio: (1/10)

500

A cell splits itself into two new cells every hour.  After 6 hours, there are 64 cells.

Initial Value: 1

Constant Ratio: 2

Create the Expression

100

(0,10), (1,5), (2,2.5)

y=10(1/2)^x

200

(0,4), (1,12) ,(2,36) 

y=4(3)^x

300

First Point (0,-2)

Second Point (1, -8)

y=-2(4)^x

400

A tournament starts with 5000 people.  Each round, the number of participants remaining is cut down to a fourth.

y=5000(1/4)^x

500

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