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avatar+712 

Does each equation represent exponential decay or exponential growth?

Drag and drop the choices into the boxes to correctly complete the table.

Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.

 

Here are the options

 

g(x)=0.3(x)

 

H=72(56)^t

 

A=(43)^t

 

H=5.9(0.82)^t

 

y=0.8(3.6)^t

 

f(t)=0.72(15)^t

 

A=49(8)^t

 Nov 7, 2018
 #1
avatar+98196 
+1

Remember that in the form

 

a(b)^x       where  a > 0

 

When   b > 0  but < 1.....we have a decay function

 

When   b > 1.....we have a growth function

 

BTW..."a"  doesn't matter in the determination of these.....only the value of  b 

 

So

 

g(x)=0.3(x)      this  is neither ...we have no exponent [ it's linear ]

 

H=72(56)^t     growth  b  = 56

 

A=(43)^t        growth   b  = 43    [ "a" is an understood "1"  ]

 

H=5.9(0.82)^t      decay       b =  0.82

 

y=0.8(3.6)^t      growth   b = 3.6

 

f(t)=0.72(15)^t    growth    b  = 14

 

A=49(8)^t      growth  b  = 8

 

Does this make sense, Jenny   ???

 

 

cool cool cool

 Nov 7, 2018
edited by CPhill  Nov 7, 2018
 #2
avatar+712 
0

Some of these were fraction, i put the choices in wrong would the answers change ?

 

here is the correct choices

 

g(x)=0.3(x)

 

H=7/2(5/6)^t

 

A=(4/3)^t

 

H=5.9(0.82)^t

 

y=0.8(3.6)^t

 

f(t)=0.72(15)^t

 

A=4/9(8)^t

jjennylove  Nov 7, 2018
 #3
avatar+98196 
+1

H=(7/2)(5/6)^t       decay     (  b  = 5/6   )

 

And as long as the last one  is   (4/9) (8)^t   it is still growth

 

 

cool cool cool

 Nov 7, 2018
edited by CPhill  Nov 7, 2018
 #4
avatar+98196 
+1

Note that   A = (4/3)^t  is still growth, too....b > 1

 

cool cool cool

CPhill  Nov 7, 2018
 #5
avatar+712 
+1

It only matters about whether or not the number instead the parentheses is greater or less than 1 ? to determine the answer?

 Nov 7, 2018
 #6
avatar+98196 
+1

Yep...[.as long  as we have an exponent  on "b"  and "a" is positive ]

 

So......

 

a (b)^x       is decay  if     0 < b < 1

 

And  growth   if  b > 1

 

 

cool cool cool

CPhill  Nov 7, 2018
edited by CPhill  Nov 7, 2018
 #7
avatar+712 
+1

Got it! Thank you smiley

jjennylove  Nov 7, 2018
edited by jjennylove  Nov 7, 2018
 #8
avatar+712 
0

I was wondering if theres anyway you could help me with some algebra questions ?

jjennylove  Nov 9, 2018

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