The weight of a population of yeast is given by a differentiable function, W, where W (t) is measured in grams and t is measured in hours. The weight of the yeast population increases with respect to t at a rate that is directly proportional to the weight. At timet = 10 hours, the weight of the yeast is 200 grams and is increasing at the rate of 5 grams per hour. Which of the following is a differential equation that models this situation? A W = 5 (t- 10) + 200 MP dt dW dt dW- 1w dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The weight of a population of yeast is given by a differentiable function, W, where W (t) is measured in grams and t is measured in hours. The weight of the yeast population increases with
respect to t at a rate that is directly proportional to the weight. At time t = 10 hours, the weight of the yeast is 200 grams and is increasing at the rate of 5 grams per hour. Which of the
following is a differential equation that models this situation?
W = 5 (t - 10) + 200
MP
dt
B
dW
dt
MP
dt
Transcribed Image Text:The weight of a population of yeast is given by a differentiable function, W, where W (t) is measured in grams and t is measured in hours. The weight of the yeast population increases with respect to t at a rate that is directly proportional to the weight. At time t = 10 hours, the weight of the yeast is 200 grams and is increasing at the rate of 5 grams per hour. Which of the following is a differential equation that models this situation? W = 5 (t - 10) + 200 MP dt B dW dt MP dt
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