Which graph correctly represents the information from the table?Time (s) Speed (m/s)0 02 4 3 6 4 86 12A. Graph A B. Graph B C. Graph CD. Graph D

Graph A
Explanation:By carefully observing the graph shown, there is a censtant rate of change of speed with time (i.e the slope)
Considering the points (0, 0) and (2, 4)
[tex]\begin{gathered} The\text{ slope, m=}\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{4-0}{2-0} \\ \\ m=\frac{4}{2} \\ \\ m=2 \end{gathered}[/tex]The equation of a line is given as:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-0=2(x-0) \\ \\ y=2x \end{gathered}[/tex]The only graph that represents the equation y = 2x is graph A