The daily consumption C (in gallons)of diesel fuel on a farm is modeled by $C = 30.4 + 21.6 \sin \left( \frac { 2 \pi t } { 365 } + 10.2 \right)$ ,
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?

A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.

Question

The daily consumption C (in gallons)of diesel fuel on a farm is modeled by​ $C = 30.4 + 21.6 \sin \left( \frac { 2 \pi t } { 365 } + 10.2 \right)$ , ​
Where t is the time (in days),with t = 1 corresponding to January 1.
What is the average daily fuel consumption?
​
A)365 gal.
B)21.6 gal.
C)30 gal.
D)10.2 gal.
E)30.4 gal.

Quizplus · Accepted Answer

The average daily fuel consumption is given by the constant term in the model, which is 30.4 gallons. The sine function represents the fluctuation around this average, but does not affect the average itself.

The Daily Consumption C (In Gallons)of Diesel Fuel on a Farm