The annual amount of energy produced in a country from dry natural gas (in trill
ID: 2331446 • Letter: T
Question
The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can be approximated by the function g(t)equals15.42 left parenthesis 1.046 right parenthesis Superscript t, where tequals10 corresponds to the year 2010. (a) Find the amount of dry natural gas energy produced in 2014. (b) If the model continues to be accurate, project the amount of dry natural gas energy produced in 2021. (a) The amount of dry natural gas energy produced in 2014 was 5 nothing trillion cubic feet. (Round to the nearest hundredth as needed.) (b) If the model continues to be accurate, the amount of dry natural gas energy that will be produced in 2021 is nothing trillion cubic feet. (Round to the nearest hundredth as needed.)
Explanation / Answer
The energy produced equation is
G(t) = 15.42 + 1.046 t
a)
The amount of dry natural gas energy produced in 2014 = 15.42 + 1.046 x 14
The amount of dry natural gas energy produced in 2014 = 30.064
_______________________________________
b) The amount of dry natural gas energy produced in 2021 = 15.42 + 1.046 x 21
The amount of dry natural gas energy produced in 2021 = 37.386
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