(a) Let t 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 = e (b) How much of the substance is left 12 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number.
(a) Let t 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 = e (b) How much of the substance is left 12 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
Related questions
Question
A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 500 kg. After 11 hours, 390 kg of the substance is left.
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