When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula ?(?) = 0.4?2 − 0.2?0.3 + 20, where t is the time in hours after 6 AM and ?(?) is the number of barrels of fuel oil. Round your answers below to 2 decimal places. a) How much fuel is consumed by 9 AM? b) What is the rate of consumption of fuel at 11 AM? c) What is the average rate of consumption from 6 AM to 1 PM? (Hint: total consumed in between 6am to 1pm divided by the time passed)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula ?(?) = 0.4?2 − 0.2?0.3 + 20, where t is the time in hours after 6 AM and ?(?) is the number of barrels of fuel oil.

Round your answers below to 2 decimal places.

a) How much fuel is consumed by 9 AM?

b) What is the rate of consumption of fuel at 11 AM?

c) What is the average rate of consumption from 6 AM to 1 PM? (Hint: total consumed in between 6am to 1pm divided by the time passed)

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