Use the image and table to answer the question.
A line graph is titled as Runner A, Average Miles per Minute. The x-axis is labeled Minutes ranging from 0 to 36 in increments of 6. The y-axis is labeled Miles ranging from 0 to 4 in increments of 1. A solid line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 12 comma 1 right parenthesis, left parenthesis 24 comma 2 right parenthesis, and left parenthesis 36 comma 3 right parenthesis.
Runner B – Average Miles per Minute
Minutes Miles
2 20
3 30
4 40
Runner A and Runner B tracked their mileage. Runner A’s average miles per minute are displayed in the graph, and Runner B’s average miles per minute are displayed in the table. Which runner has the fastest time, and what are their average miles per minute?(1 point)
Runner A has the fastest time at 10 average miles per minute.
Runner A has the fastest time at 10 average miles per minute.
Runner B has the fastest time at 10 average miles per minute.
Runner B has the fastest time at 10 average miles per minute.
Runner B has the fastest time at 12 average miles per minute.
Runner B has the fastest time at 12 average miles per minute.
Runner A has the fastest time at 12 average miles per minute.
Runner A has the fastest time at 12 average miles per minute.
We cannot determine which runner has the fastest time based on the given information as the table for Runner B provides only the average miles per minute for a few selected minutes whereas the line graph for Runner A provides the average miles per minute for every minute from 0 to 36. However, we can say that at every plotted point on the line graph, Runner A has a slower average miles per minute than Runner B. So, we cannot determine the fastest time or average miles per minute for any runner.
Runner A has the fastest time at 12 average miles per minute.
To determine which runner has the fastest time and their average miles per minute, we need to compare the data from both runners.
Runner A's average miles per minute can be found from the line graph. According to the graph, at 0 minutes, Runner A ran 0 miles. At 12 minutes, Runner A ran 1 mile. At 24 minutes, Runner A ran 2 miles. And at 36 minutes, Runner A ran 3 miles. From this information, we can calculate the average miles per minute for Runner A as follows:
Average Miles per Minute = Total miles / Total minutes
= (3 miles - 0 miles) / (36 minutes - 0 minutes)
= 3 miles / 36 minutes
= 1/12 miles per minute
= 0.0833 miles per minute
Now let's look at the table for Runner B's data. At 2 minutes, Runner B ran 20 miles. At 3 minutes, Runner B ran 30 miles. And at 4 minutes, Runner B ran 40 miles. From this information, we can calculate the average miles per minute for Runner B as follows:
Average Miles per Minute = Total miles / Total minutes
= (40 miles - 20 miles) / (4 minutes - 2 minutes)
= 20 miles / 2 minutes
= 10 miles per minute
Comparing the two average miles per minute values, we can see that Runner B has the fastest time with an average of 10 miles per minute.
Therefore, the correct answer is:
Runner B has the fastest time at 10 average miles per minute.
To answer this question, we need to compare the average miles per minute for Runner A and Runner B.
From the information given, we can see that the plotted points for Runner A on the line graph are (0, 0), (12, 1), (24, 2), and (36, 3). This means that Runner A ran 0 miles in 0 minutes, 1 mile in 12 minutes, 2 miles in 24 minutes, and 3 miles in 36 minutes.
On the other hand, the table provides the average miles per minute for Runner B. According to the table, Runner B ran 20 miles in 2 minutes, 30 miles in 3 minutes, and 40 miles in 4 minutes.
To determine who has the fastest time, we need to compare their average miles per minute.
For Runner A, we can calculate the average miles per minute by dividing the total distance (in miles) by the total time (in minutes):
- Average miles per minute for Runner A = total distance / total time
- Average miles per minute for Runner A = 3 miles / 36 minutes
Calculating this, we get:
- Average miles per minute for Runner A = 0.0833 miles per minute
Now, for Runner B, we have their average miles per minute directly from the table:
- Average miles per minute for Runner B = 10 miles per minute
Comparing the values, we can see that Runner B has the fastest time at 10 average miles per minute. Therefore, the correct answer is:
- Runner B has the fastest time at 10 average miles per minute.