One model for the time it will take for the world’s oil supply to be depleted is given by the function T(r) = 14.29 ln(0.00411r + 1), where r is the estimated oil reserves in billions of barrels and T is the time in years before that amount of oil is depleted? How many barrels of oil are necessary to last 30 years? How many barrels of oil are necessary to last 60 years?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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One model for the time it will take for the world’s oil supply to be depleted is given by the function T(r) = 14.29 ln(0.00411r + 1), where r is the estimated oil reserves in billions of barrels and T is the time in years before that amount of oil is depleted?

How many barrels of oil are necessary to last 30 years?

How many barrels of oil are necessary to last 60 years?

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