SOLUTION: As more people entered the coffee shop, the number of pounds of coffee the employees had in stock decreased every hour. The function p(x)=0.4(.91)^x models the number of pounds

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Question 1128919: As more people entered the coffee shop, the number of pounds of coffee the employees had in stock decreased every hour.
The function p(x)=0.4(.91)^x models the number of pounds of coffee in hundreds of pounds where x represents the number of hours since the trend has been observed.
What do the values in the function represent?
Select each correct answer.


There were 40 pounds of coffee in stock when the trend began.
The number of pounds of coffee in stock decreased by 91% each hour since the trend began.
There were 400 pounds of coffee in stock when the trend began.
The number of pounds of coffee in stock decreased by 9% each hour since the trend began.
There were 4000 pounds of coffee in stock when the trend began.
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52863)   (Show Source): You can put this solution on YOUR website!
.

The first and the second lines of the answer list are correct.

All other lines of the answer list are incorrect.


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An aside note 

    The given function  p(x) =   is a "decay" function.

    It is typical to describe the decay processes like radioactive decay.

    The process of decreasing the coffee amount in the store does not look like a decay,

        so, in my view, it is not likely-hood that the function p(x) is a good form to describe it.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

If no time has passed, then and

, and , so
There were 40 pounds of coffee at the beginning
---------------------
After 1 hr, the amount of coffee is:



and


So the amount has decreased by 9% in 1 hr
All the other choices are false


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