Answer: The correct option is (B) [tex]y=11x-7.[/tex]
Step-by-step explanation: We are given to select the function that passes through the points (2, 15) and (3, 26).
Since the function passes through two points, so it must be a linear function in two variables.
That is, the graph of the function will be a straight line.
Now,
the slope of the line passing through the points (2, 15) and (3, 26) is given by
[tex]m=\dfrac{26-15}{3-2}\\\\\\\Rightarrow m=11.[/tex]
Since the line passes through the point (2, 15), so the equation of the line will be
[tex]y-15=m(x-2)\\\\\Rightarrow y-15=11(x-2)\\\\\Rightarrow y-15=11x-22\\\\\Rightarrow y=11x-22+15\\\\\Rightarrow y=11x-7.[/tex]
Thus, the required function is [tex]y=11x-7.[/tex]
Option (B) is correct.
