Q:

Does each function describe exponential growth or decay?Drag and drop the equations into the boxes to correctly complete the table.Growth OR Decay

Accepted Solution

A:
[tex]y= ((1-0.002) ^{ \frac{1}{56}} ) ^{56t}= (0.998)^t[/tex]
Exponential Decay - because you are raising a number less than 1 to a power of time "t".
[tex]y= ((1.008) ^{ \frac{1}{12}} ) ^{12t}= (1.008)^t[/tex]
Exponential Growth- because you are the number you are raising to the power of "t" is greater than 1.
[tex]y=426(0.98)^{t}[/tex]
Exponential Decay- because (0.98) is less than 1.
[tex]y=250(1 +0.004)^{t} = 250 (1.004)^t[/tex]
Exponential Growth- because 1004 is greater than 1 and being raised to the power of t; meaning that it will only increase as time increases.
[tex]y= 12,000( \frac{1}{2})^{t}[/tex]
Exponential Decay - because you are raising one half(whihc is less than one) to the power of "t"; meaning that the value can only decrease with time increases.

Hope this helped!