The equation:
d = 6t
relates distance (d) with time (t).
2. If t = 2, then d = 6(2) = 12. Similarly, we can compute the next table
t. 0 1 2 3 4
d.0 6 12 18 24
3. From the graph, the table is:
t. 0 1 2 3 4
d.0 3 6 9 12
4. The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line of the equation passes through the points (0,0) and (1, 6), then its slope is:
[tex]m=\frac{6-0}{1-0}=6[/tex]
5. The line of the graph passes through the points (0,0) and (4, 12), then its slope is:
[tex]m=\frac{12-0}{4-0}=3[/tex]
6. Given that the slope of these lines are the speeds of the cars, then the car represented by the equation is faster
