Question

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

Answer 1

Answer:

Graph A

Step-by-step 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)

`\begin{gathered} The\text{ slope, m=}(y_2-y_1)/(x_2-x_1) \\ \\ m=(4-0)/(2-0) \\ \\ m=(4)/(2) \\ \\ m=2 \end{gathered}`

The equation of a line is given as:

`\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-0=2(x-0) \\ \\ y=2x \end{gathered}`

The only graph that represents the equation y = 2x is graph A