When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 0.7-0.305 + 11, where t is the time in hours after 6 AM and f(1) is the number of barrels of fuel oil. Step 3 of 3: What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
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When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 0.7 – 0.305 + 11, where t is the time in hours after
6 AM and f(t) is the number of barrels of fuel oil.
Step 3 of 3: What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places.
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Answer
barrels per hour
Transcribed Image Text:When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 0.7 – 0.305 + 11, where t is the time in hours after 6 AM and f(t) is the number of barrels of fuel oil. Step 3 of 3: What is the average rate of consumption from 6 AM to 3 PM? Round your answer to 2 decimal places. E Keypad Keyboard Shortcuts Answer barrels per hour
Expert Solution
Step 1

Given: ft=0.7t3-0.3t0.5+11

When t is time in hours after 6 AM. 

ft is the number of barrels of fuel oil. 

 

To find: The average rate of consumption from 6 AM to 3 PM.

 

Required Formula: The average rate of function ft from t=a to t=b is given by:

1b-aabftdt

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