After crossing a bridge, Tony drives at a constant speed. The graph below shows the distance (in miles) versus the time since Tony crossed the bridge (in hours).
Use the graph to answer the questions.
Distance (miles)
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Time (hours)
(a) What is the distance traveled at 0 hours?
(b) What is the distance traveled at 1 hour?
(c) How much does the distance increase for each hour since Tony crossed the bridge?
(d) Are the amounts given in parts (b) and (c) equal?
Why or why not? Choose the best answer.
Yes, because the line passes through 0,0.
Yes, because the line does not pass through 0,0.
No, because the line passes through 0,0.
No, because the line does not pass through 0,0.
(a) The distance traveled at 0 hours is 0 miles.
(b) The distance traveled at 1 hour is 30 miles.
(c) The distance increases by 30 miles for each hour since Tony crossed the bridge.
(d) No, the amounts given in parts (b) and (c) are not equal because the line does not pass through the point (0,0).
(a) The distance traveled at 0 hours is 30 miles.
(b) The distance traveled at 1 hour is 60 miles.
(c) The distance increases by 30 miles for each hour since Tony crossed the bridge.
(d) The amounts given in parts (b) and (c) are not equal. Their respective values are different. The best answer is: No, because the line does not pass through 0,0.
To answer these questions, we can refer to the graph provided. Here's how to find the answers:
(a) To determine the distance traveled at 0 hours, we look at the point on the graph where the x-axis (time) intersects with the y-axis (distance). In this case, the line passes through the point (0, 30). Therefore, the distance traveled at 0 hours is 30 miles.
(b) To determine the distance traveled at 1 hour, we locate the point on the graph where the x-axis (time) intersects with the line. From the graph, we can see that at 1 hour, the distance traveled is approximately 90 miles.
(c) The distance increases by the same amount for each hour since Tony crossed the bridge. To find this, we can calculate the slope of the line on the graph. We find the change in distance (y-coordinate) divided by the change in time (x-coordinate) between any two points on the line. For example, between the points (0, 30) and (1, 90), the change in distance is 90 - 30 = 60 miles and the change in time is 1 - 0 = 1 hour. Therefore, the distance increases by 60 miles for each hour since Tony crossed the bridge.
(d) The amounts given in parts (b) and (c) are not equal. The distance traveled at 1 hour is 90 miles, as calculated in part (b), while the amount given in part (c) is the increase in distance for each hour, which is 60 miles. Therefore, the correct answer is "No, because the line does not pass through 0,0."