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A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 7600 kg. After 9 hours, 1748 kg of the substance is left. (a) Lett be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. - Der y = (b) How much of the substance is left 23 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg X OIn0

A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 7600 kg. After 9 hours, 1748 kg of the substance is left. (a) Lett be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. - Der y = (b) How much of the substance is left 23 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg X OIn0

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 7600 kg. After 9 hours, 1748 kg of the substance is left. (a) Lett be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = ₂₁ (b) How much of the substance is left 23 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg X InO
Transcribed Image Text:A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 7600 kg. After 9 hours, 1748 kg of the substance is left. (a) Lett be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = ₂₁ (b) How much of the substance is left 23 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg X InO
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