The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination. Which statement is true? It took Michelle 6 hours to complete the trip. For each hour that Michelle drove, she traveled an additional 50 miles. In the first 6 hours, Michelle had traveled a total of 50 miles. In the first 3 hours, Michelle had traveled a total of 200 miles.

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destinati class=

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The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.




Which statement is true?


It took Michelle 6 hours to complete the trip.

For each hour that Michelle drove, she traveled an additional 50 miles.

In the first 6 hours, Michelle had traveled a total of 50 miles.

In the first 3 hours, Michelle had traveled a total of 200 miles.

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The only true statement is from Option B which says;

For each hour that Michelle drove, she traveled an additional 50 miles.

This is just a distance - time graph interpretation.

We are told that the graph shows the relationship between the number of hours she had been driving and the distance that she had left to get to her destination.

From the graph, we see that at 0 hours, she had 350 miles to cover.

Option A; It took Michelle 6 hours to complete the trip; This statement is not true because from the graph, we see that when the y-coordinate was 0 which indicates no more distance to cover, she had used 7 hours.

Option B; For each hour that Michelle drove, she traveled an additional 50 miles; This statement is true because we see that after 1 hour, she had 300 miles left. After an additional hour, she had 250 miles left. After a further additional hour, she had 200 miles left. This trend means that she covered 50 miles per hour.

Option C; In the first 6 hours, Michelle had traveled a total of 50 miles; This statement is not true because initially at the start of the journey, she had 350 miles to cover but after 6 hours from the graph, she had 50 miles left to cover. This means she had covered; 350 - 50 = 300 miles after 6 hours.

Option D; In the first 3 hours, Michelle had traveled a total of 200 miles; This statement is not true because initially at the start of the journey, she had 350 miles to cover but after 3 hours from the graph, she had 200 miles left to cover. This means she had covered; 350 - 200 = 150 miles after 3hours.

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