Answer:
The number of pounds of coffee in stock decreased by 9% each hour since the trend began.
There were 40 pounds of coffee in stock when the trend began.
Step-by-step explanation:
p(x)=0.4(.91)^x
= a b^x
where a is the initial value and b = 1-rate of decrease
We know that the number of pounds of coffee will decrease as time goes on.
.4 is the initial value
It is in the hundreds of pound
.4 * 100 = 40 pounds
x is the number of hours
.91 = 1- rate of decrease
Subtract 1 from each side
.91-1 =-rate of decrease
-.09 = -rate of decrease
rate of decrease = .09
rate of decrease = 9 %
That means we keep 91 % of the coffee and sell 9% of the coffee
Lets check the statements:
There were 400 pounds of coffee in stock when the trend began.
False there were 40 pounds when we started
The number of pounds of coffee in stock decreased by 9% each hour since the trend began.
True see above calculations
There were 4000 pounds of coffee in stock when the trend began.
False see above calculations
There were 40 pounds of coffee in stock when the trend began.
True see above calculations
The number of pounds of coffee in stock decreased by 91% each hour since the trend began.
False see above calculations
