Answer:
Option C.
Explanation:
If a line passes through two points \((x_1,y_1)\) and \((x_2,y_2)\), then the equation of line is
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
From the given graph it is clear that the line passes through the point s(0,0) and (1,1). So, the equation of trend line is
\(y-0=\frac{1-0}{1-0}(x-0)\)
\(y=x\)
Substitute x=8 in the above equation to find the MOST reasonable measurement at the end of a 8 week period.
\(y=(8)\)
\(y=8\)
The MOST reasonable measurement at the end of a 8 week period is 8 decimeters.
Therefore, the correct option is C.
