Answer:
A. Correct
B. Correct
C. Not correct
D. Correct
E. Not correct
Explanation:
We are told that Michael's race numbers are:
5.25 miles
45.75 minutes
Divide the miles by the minutes to get mIchael's running rate:
0.114754098 mi/min
This result matches option B. " Michael's average pace was about 0.11 miles per minute."
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Check all the answer options:
A. Michael's unit rate of minutes per mile was about 8.7.
Take 0.11475409 mi/min and invert it to find min/mile:
1/(0.11475409 mi/min) = 8.71 min/mile
This is a correct statement.
B. Michael's average pace was about 0.11 miles per minute.
From above: This is a correct statement.
C. Michael's unit rate of minutes per mile was about 6.9.
Take the given numbers: (45.75 minutes)/(5.25 miles) = 8.71 min/mile
This is not a correct statement.
D. Michael's average speed during the race was about 6.9 miles per hour.
Take the calculated rate of 0.11475409 mi/min and covert it to miles/hour:
Use the conversion factor (60 min/1 hr)
(0.11475409 mi/min)*((60 min/1 hr)) = 6.89 miles/hr
This is a correct statement.
E. Michael ran about 8.7 miles in 1 minute.
We know from above that he runs at 6.89 miles per hour. Running 8.7 miles in 1 minute would mean he is running at (8.7)*(60) = 413 miles/hour.
Perhaps he had some good energy bars, but the data do not support this conclusion.
This is not a correct statement.