Only brainliest answer gets points. no wrong answers. only answer if you know how to do this. 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 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. 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.

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

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

step-by-step explanation: