To solve this problem, we need to analyze the provided information from the graph.
The graph shows a straight line starting at point (0, 350) and ending at point (7, 0). Here's what this tells us:
1. At time 0 hours, Michelle has 350 miles left to reach her destination.
2. After 7 hours, she has 0 miles left, meaning she has reached her destination.
First, let's calculate the total distance Michelle has traveled by the end of her trip:
- The distance is 350 miles (from 350 to 0).
Next, let's determine the distance Michelle travels per hour:
- In 7 hours, she traveled 350 miles.
- Distance per hour \( = \frac{350 \text{ miles}}{7 \text{ hours}} = 50 \text{ miles per hour} \).
Let's analyze each statement given:
1. **It took Michelle 6 hours to complete the trip.**
- The graph shows it took Michelle 7 hours to complete the trip, so this statement is false.
2. **For each hour that Michelle drove, she traveled an additional 50 miles.**
- This statement is incorrect because "additional 50 miles" implies she gained 50 miles each hour. She actually reduces her distance by 50 miles each hour.
3. **In the first 6 hours, Michelle had traveled a total of 50 miles.**
- This statement is false. In the first 6 hours, she would have traveled \( 6 \text{ hours} \times 50 \text{ miles per hour} = 300 \) miles.
4. **In the first 3 hours, Michelle had traveled a total of 200 miles.**
- This statement is correct. In the first 3 hours, she would have traveled \( 3 \text{ hours} \times 50 \text{ miles per hour} = 150 \) miles. Therefore, 200 miles is incorrect.
None of the options provided is entirely correct based on the analysis above. Based on the data from the graph, it shows Michelle's travel details, and to break it down accurately:
- Michelle reduces her remaining distance by 50 miles every hour.
- In the first 3 hours, she traveled 150 miles.
- It took Michelle 7 hours to travel the entire distance of 350 miles.
So, it seems there's a misalignment between the presented graph details and the provided statements. The correct interpretation from the graph should be as follows:
- Michelle travels 50 miles for each hour driven.
- It takes her 7 hours to complete her journey.
Statement 4 needs closer examination and probably be rephrased accurately to match the calculations derived from the graph.
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.
A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).
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.
1 answer
1 answer