The equation is proportional, the graph will be a straight line that passes through the origin (0, 0).
To graph the proportional equation (d = 50r), where (d) is the distance in feet and (r) is the rate in feet per second, you can follow these steps:
Choose a suitable scale for the axes. Since the equation is in the form (d = rt), where (r) is the rate, you can choose the (r) values for the x-axis and the corresponding (d) values for the y-axis.
Plot the points. To plot the points, you can choose different values of (r) and calculate the corresponding (d) using the equation (d = 50r). For example, when (r = 1), (d = 50 \times 1 = 50), so the point (1, 50) is plotted. Similarly, when (r = 2), (d = 50 \times 2 = 100), so the point (2, 100) is plotted, and so on.
Draw a line through the points. Since the equation is proportional, the graph will be a straight line that passes through the origin (0, 0). This is because when (r = 0), (d = 0), and the line will pass through the point (0, 0).
By following these steps, you can graph the proportional equation (d = 50r) and visualize the relationship between the distance and the rate.