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The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.

Answer :

MrRoyalgo

The question is an illustration of the sine function.

  • The average daily fuel consumption is 30.3
  • The vertical shift represents the average daily fuel consumption

The function is given as:

[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]

A sine function is represented as:

[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]

Where d represents the vertical shift.

In this case, d represents the average rate

So, the average daily fuel consumption is 30.3

The term that represents the average daily fuel consumption is the vertical shift of the sine function.

Read more about sine functions at:

https://brainly.com/question/12015707

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