Compare Proportional Relationships Quick Check
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Question
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)
Responses
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.
I'm sorry, but without the actual questions and answer choices, I cannot verify your responses. Can you please provide more specific information or context?
HaHaa
To determine which runner has the fastest time and their average miles per minute, we need to compare the data given for Runner A and Runner B.
From the graph, we can see that Runner A's average miles per minute is represented by a solid line connecting four plotted points: (0,0), (12,1), (24,2), and (36,3).
From the table, we can see that Runner B's average miles per minute is given for three different time intervals: 2 minutes it was 20 miles, for 3 minutes it was 30 miles, and for 4 minutes it was 40 miles.
To find the average miles per minute for Runner B, we need to divide the total miles by the total time. In this case, we have 20 miles in 2 minutes, 30 miles in 3 minutes, and 40 miles in 4 minutes.
Using the formula Average Speed = Total Distance / Total Time, we can calculate Runner B's average miles per minute.
For 2 minutes, the average speed is 20 miles / 2 minutes = 10 miles per minute.
For 3 minutes, the average speed is 30 miles / 3 minutes = 10 miles per minute.
For 4 minutes, the average speed is 40 miles / 4 minutes = 10 miles per minute.
Therefore, Runner B has an average speed of 10 miles per minute.
To determine which runner has the fastest time, we compare the average miles per minute for both runners.
Runner A has an average speed of 10 miles per minute, while Runner B also has an average speed of 10 miles per minute.
So, both runners have the same average miles per minute, and neither runner has a faster time than the other.
1. a
2. d
3. a
4. c
5.a