+956 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 :|
+129852 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
