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. Use this function to answer the questions below. (Round to the nearest billion barrels.) (Note. This problem is a logarithmic function. How many barrels of oil are necessary to last 30 years? How many barrels of oil are necessary to last 60 years?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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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. Use this function to answer the questions below. (Round to the nearest billion barrels.) (Note. This problem is a logarithmic function.

  • 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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