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Does each equation represent exponential decay or exponential growth?

 

correctly label each equation as either exponential decay or exponential growth

 

Note: If an equation is neither exponential growth nor exponential decay label as neither

 

 W = 9/8 (3/5)^t

 

 L = 0.25 (12) ^t

 

 f(t) = (3/4)^t

 

 W = 0.5 (2.1)^t

 

  L = 4.2 (0.6)^t

 

f(t) = 2/3 (6)^t

 

g(x) = 1.3 (x)

kikidylm  Oct 31, 2018
 #1
avatar+13567 
0

See

https://web2.0calc.com/questions/help_56931

ElectricPavlov  Oct 31, 2018
 #2
avatar+90968 
+1

These are easy to identify...we have the  form  on the right side of each equation

 

a(b)^x

 

If  b > 0  but < 1......we have exponential decay

 

If  b > 1......we have exponential growth

 

Can you answer the question based on this???....give it a try and I will check your answers  [ if you want me to...]

 

 

cool cool cool

CPhill  Oct 31, 2018
 #3
avatar+18 
+1

Are these right??

 

1. exponential decay

2. exponential growth

3. neither??

4. exponential growth

5. exponential decay

6. exponential growth

7. neither?

kikidylm  Oct 31, 2018
 #4
avatar+90968 
+2

Excellent !!!

 

The last is indeed, "neither"   [ it is just a straight line ]

 

The third one is tricky....note that we can write

 

f(t)  =  1(3/4)^t

 

So....this is "decay "

 

 

 

 

cool cool cool

CPhill  Oct 31, 2018

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