Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth after I hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)' to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y 10 and find its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach a depth of 10 feet.
Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth after I hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)' to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y 10 and find its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach a depth of 10 feet.
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 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth adter 1 hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)^2 to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. The, graph the horizontal line y = 10 and find its intersection to determine the time, to the nearest tenth of an hour, when will the reservoir reach a depth of 10 feet?
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Step 1: Given.
Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.
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