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Let the amount of cola consumed in the United States be given by K(t) = \(6x^2-8 \sqrt x +3\) with K measured in billions of gallons per year and t is measured in years from the beginning of 1990. What is the average rate of consumption of cola over the 10 year time period beginning January 1, 1992? 

 

a) 82.3604 billions of gallons per year

b) 839.29 billions of gallons per year 

c) 57.67 billions of gallons per year 

d) 823.604 billions of gallons per year

 

I'm very sorry if I'm bothering you :| 

Julius  Mar 30, 2018
 #1
avatar+87537 
+2

Don't worry....you're not bothering me...LOL!!!

 

We should have t  instead of   x  in the function

 

If  we let  1990  =  year "0".....then we can consider 1992 as  year "2"

 

And so....10 years after this is year "12"

 

So   we want to find this

 

[ Consumption in year 12  - Consumption in year 2 ]

__________________________________________

                12   -  2

 

[  ( 6(12)^2 - 8√12 + 3)  - ( 6(2)^2 - 8√2 + 3 ) ]

____________________________________

                    10

 

[ (6(12)^2 - 8√12  - 6(2)^2  + 8√2 ]

___________________________

                 10

 

[ 864  - 8√12 + 8√2 - 24 ]

____________________ 

             10

 

[ 840  - 8√12 + 8√2 ]

________________   ≈     82.36 billions per year  ⇒  Answer "a"

           10

 

 

 

cool cool cool

CPhill  Mar 30, 2018

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