Key Features
Growth and Decay
Rate and Factor
Word Problems
Miscellaneous
100

If, y=a(b)x , What do the variables represent? 



a=initial amount/y-intercept

b=multiplier (common ratio)

100

Growth or decay?

y=3(0.5)x

decay

100

What is the growth/decay factor?

y=5(0.5)^x

0.5

100


2243

100

A bunny population doubles every months. If the starting population is 10, how many will you have after 4 months?  


160

200

What is the y-intercept and common ratio for the function f(x)=2(3)x  

y-intercept=2

common ratio= 3

200

Growth or Decay?

y=3.5(3)x

growth

200

What is the growth/decay factor?

y=5(1.3)^x

1.3

200

What will be the cost in 17 years?

$32,313.27

200

In exponential functions, when b>1 this will cause an exponential growth or decay?

Exponential growth

300

What is the y-intercept?

y-intercept = (0, 1)



300

f(x)=2(.93)x

Does this functions represent exponential growth or decay? 

Exponential Decay


300

What is the growth/decay rate?

y=(0.01)^x

99% Decay

300


16,941 people

300

f(x)=-4(1.07)x

Does this functions represent exponential growth or decay? 

Exponential Growth.

400

What is the asymptote of the exponential function?

0

400

Growth or Decay?

A town with an initial population of 1,400 people and an annual growth rate of 1.25%


growth

400

Is this exponential growth or decay?

What is the percent growth/decay rate?

y=1/2(0.7)^x

Decay.  30%

400

Is the function exponential growth or decay? What is the multiplier (common ratio)?

Decay  (.50)  or 

1/2

400

What is the asymptote of the function?


y=-2(4)x+1

1

500

What is the range of the given exponential function?


y>1

500

Growth or Decay?

Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. 


Decay

500

What is the percent growth/decay rate?

y=60(1.33)^x

33%  Growth

500

If you put $500.00 into an account and the account earns 3% interest each year. How much will be in the account after 5 years?

$579.64

500

Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years? 

530,000(1.05)=$710,250.69

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