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In Order to Determine an Appropriate Delivery Schedule to a Group

Question 92

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In order to determine an appropriate delivery schedule to a group of rural homes in North Dakota, a fuel oil distributor monitors fuel oil consumption and the daily outdoor temperature (in degrees Fahrenheit). A table was constructed for a function F (T) of fuel oil consumption (in gallons per day) as a function of the temperature T.(a) Sketch a graph which you believe would approximate the graph of y = F (T).(b) What is the meaning of F(T)?F ^ { \prime } ( T ) ? What are its units?
(c) Write a sentence that would explain to an intelligent layperson the meaning of F(0)=0.4F ^ { \prime } ( 0 ) = - 0.4

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