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joejo1688
01.07.2019 •
Mathematics
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.
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Ответ:
Exponential Decay:
W=9/8(3/5)^t
f(t)=(3/4)^t
L=4.2(0.6)^t
Exponential Growth:
L=0.25(12)^t
W=0.5(2.1)^t
f(t)=2/3(6)^t
Neither:
G(x)=1.3(x)
Ответ:
The best way to know if an equation represents an exponential growth or decay is to look a the base of the exponentiation.
If the base is larger than 1, it will be an exponential growth.
For example,![3^{2} = 9](/tpl/images/0038/7090/faf4e.png)
If the base is smaller than 1, it will be an exponential decay.
For example,![0.5^{2} = 0.25](/tpl/images/0038/7090/07204.png)
If the function does not have an exponent, that means there will be no exponential growth or decay.
Therefore:
Exponential Decay (base smaller than 1):
Exponential Growth (base larger than 1):
Not exponential growth or decay (no exponent):
G(x)=1.3(x)
Ответ:
none of the above
Step-by-step explanation: