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Find the average value of the function $f$ on the given curve $C$:

$$f(x,y)=x+2y$$

...where $C$ is the line segment from $(1,1)$ to $(4,4)$.

A

$\cfrac{17}{2}$

B

$\cfrac{15}{2}$

C

$3$

D

$15$

E

$17$

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