Question

Let y represent the distance traveled by a jogger moving at a constant speed of 5 miles per hour. Let t represent the number of hours the jogger has been jogging. Write an equation that relates y to t and sketch its graph.

Answer 1

The equation relating distance traveled, represented by y, to the number of hours jogging, represented by t, is y = 5t. The graph of this equation is a straight line with a slope of 5 passing through the origin (0, 0).

Step-by-step explanation:

To write an equation that relates y to t, we need to use the formula for distance, which is speed multiplied by time. Since the jogger is moving at a constant speed of 5 miles per hour, the equation is:

y = 5t

To sketch the graph, we plot values of t on the horizontal axis (x-axis) and values of y on the vertical axis (y-axis). Each point on the graph represents a time and the corresponding distance traveled by the jogger. The graph will be a straight line that passes through the origin (0, 0) and has a slope of 5. The slope represents the speed of the jogger.