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 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) No, the amounts given in parts (b) and (c) are not equal. The distance traveled at 1 hour is 60 miles, but the distance increases by 30 miles for each hour.
(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) No, the amounts given in parts (b) and (c) are not equal. The line does not pass through 0,0, so it is not possible for the distance traveled at 1 hour to be equal to the increase in distance for each hour since Tony crossed the bridge. Answer choice: No, because the line does not pass through 0,0.
To answer these questions, we can look at the graph provided. The x-axis represents time in hours since Tony crossed the bridge, and the y-axis represents the distance traveled in miles.
(a) To find the distance traveled at 0 hours, we need to look at the point on the graph where the time is 0. From the graph, we can see that at 0 hours (x = 0), the distance traveled (y) is 30 miles. So the distance traveled at 0 hours is 30 miles.
(b) To find the distance traveled at 1 hour, we need to look at the point on the graph where the time is 1 hour (x = 1). From the graph, we can see that at 1 hour, the distance traveled (y) is approximately 60 miles. So the distance traveled at 1 hour is 60 miles.
(c) To find how much the distance increases for each hour since Tony crossed the bridge, we need to determine the slope of the line. The slope represents the rate at which the distance is changing with respect to time. We can calculate the slope by finding the change in y (distance) divided by the change in x (time).
Looking at the graph, we can see that the line passes through the points (0, 30) and (1, 60). The change in y is 60 - 30 = 30 miles, and the change in x is 1 - 0 = 1 hour.
So, the distance increases by 30 miles for each hour since Tony crossed the bridge.
(d) Now, let's consider whether the amounts given in parts (b) and (c) are equal or not. The amount given in part (b) is the distance traveled at 1 hour, which is 60 miles. The amount given in part (c) is the increase in distance for each hour since Tony crossed the bridge, which is also 30 miles.
Therefore, the best answer is: No, the amounts given in parts (b) and (c) are not equal because the line does not pass through 0,0.