Final answer:
To graph the relationship between distance traveled and time for a car moving at a constant speed of 45 mph, plot time on the x-axis and distance on the y-axis, place points corresponding to the speed (e.g., (1, 45)), and connect them with a straight line. The slope of this line represents the car's speed.
Step-by-step explanation:
To graph the relation between the distance traveled and the time it takes for a car traveling at a constant speed of 45 mph, you would create a distance vs. time graph. On this graph, the horizontal axis (x-axis) represents time, and the vertical axis (y-axis) represents distance. Since the car travels at a constant speed, the graph will be a straight line with a positive slope.
Here's a step-by-step explanation:
- Label your x-axis (horizontal) as 'Time (hours)' and your y-axis (vertical) as 'Distance (miles)'.
- Since the car is traveling at a constant speed, you can determine the distance traveled each hour. At 45 mph, in one hour, the car would travel 45 miles. Therefore, you can place a point at (1,45) on the graph.
- Continue this process for additional hours, placing points at (2, 90), (3, 135), and so on. Each hour corresponds to an additional 45 miles traveled.
- Connect the points with a straight line. This represents the constant speed of the car.
The slope of the line will be the speed of the car, and in this case, it is 45 mph. A steeper slope would indicate a faster velocity. A horizontal line would indicate that the car is not changing its position (it's stationary), and a curve would indicate that the car is accelerating or decelerating.