Respuesta :
Answer:
There were 40 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.
Step-by-step explanation:
We are given the following information in the question:
[tex]p(x) = 0.4(0.91)^x[/tex]
where p(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.
When x = 0
[tex]p(0) = 0.4(0.91)^0 = 0.4\\\text{Amount of coffee} = 0.4\times 100 = 40\text{ pounds}[/tex]
Thus, we can say there were 40 pounds of coffee in stock when the trend began.
When x = 1, that is 1 hour after the trend began. The decrease in coffee is given by:
[tex]p(1) = 0.4(0.91)^1 = 0.364\\\text{Amount of coffee} = 0.364\times 100 = 36.4\text{ pounds}[/tex]
Percentage decrease =
[tex]\displaystyle\frac{\text{Decrease}}{\text{Original}}\times 100\% = \frac{40-36.4}{40}\times 100\% = 9\%[/tex]
Thus, we can say, the number of pounds of coffee in stock decreased by 9% each hour since the trend began.
Answer:
There were 40 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.
Step-by-step explanation:
I took the test :)
