Growth and Decay Rates and Factors
Finding and Exponential Equation
Graphing
Solving
Real World Application
100

Is this growth or decay?

y=3(2^x)

What is growth

100

See Board.... What is the equation?

What is f(x)=4^(x-1)

100

y=3(4^x)

HA? Growth or Decay? Y-int? Increasing/Decreasing (AROC too)?

See the board

100

Solve: 10^5x=100

x=2/5

100

Which is better? An account that pays 10% compounded biannually? Or an account that pays 9.3% compounded continously? And why?

What is an account that pays 10% compounded biannually because your growth rate is higher, which means you will get more money back. 

200

Is this growth or decay?

y=100(1/4^(x-3))

What is decay

200

See Board..... What is the equation?

What is f(x)=1/2(2^(x+2))

200

y=2(1/2)^(x+3)

HA? Growth or Decay? Y-int? Increasing/Decreasing (AROC too)?

See the board

200

Solve:

4(2)^-3x-3= 175

Calculator allowed

x=-1.83

200

A radioactive substance decays at a continuously compounded rate of 12% per year and 25 mg is there initially. 

a)write an equation for F(y), the amount of radioactive substance remaining y years after the initial year. 

b)When will the amount of radioactive substance be below 7 mg?

a) F(y)=25e^-.12y

b)10.61 years

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