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

jjennylove
Nov 7, 2018

#1**+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 ???

CPhill
Nov 7, 2018

#2**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**+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

CPhill
Nov 7, 2018

#5**+1 **

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

jjennylove
Nov 7, 2018

#8**0 **

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

jjennylove
Nov 9, 2018