A certain gas reserve held about 27 billion cubic feet of the gas in 2010 and is being depleted by about 1.7 billion cubic feet each year. (a) Give a linear equation for the remaining gas reserves, R, in terms of t, the number of years since 2010. (Let R be measured in billions of cubic feet.) R(t) = (b) In 2015, what will the gas reserves be? (Round your answer to one decimal place.) billion ft3 (c) If the rate of depletion doesn't change, in what year will the gas reserve be depleted? (Round your answer down to the nearest year.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 52SE: Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total...
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A certain gas reserve held about 27 billion cubic feet of the gas in 2010 and is being depleted by about 1.7 billion cubic feet each year.

(a) Give a linear equation for the remaining gas reserves, R, in terms of t, the number of years since 2010. (Let R be measured in billions of cubic feet.)
R(t) = 
 
 
 


(b) In 2015, what will the gas reserves be? (Round your answer to one decimal place.)
 billion ft3

(c) If the rate of depletion doesn't change, in what year will the gas reserve be depleted? (Round your answer down to the nearest year.)
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