Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles. Which best explains the reasonableness of Anna’s answer? There are three digits to the left of the decimal in the factors and three digits to the left of the decimal in the answer, so Anna’s answer is reasonable. There is one digit to the right of the decimal in the factors and one digit to the right of the decimal in the answer, so Anna’s answer is reasonable. Anna’s answer is reasonable because 60 times 3 is 180, and 180 is reasonably close to 201.6. Anna’s answer is reasonable because 70 times 4 is 280, and 280 is reasonably close to 201.6.
Answers
Given : Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles.
To Find : Which best explains the reasonableness of Anna’s answer?
There are three digits to the left of the decimal in the factors and three digits to the left of the decimal in the answer, so Anna’s answer is reasonable.
There is one digit to the right of the decimal in the factors and one digit to the right of the decimal in the answer, so Anna’s answer is reasonable.
Anna’s answer is reasonable because 60 times 3 is 180, and 180 is reasonably close to 201.6.
Anna’s answer is reasonable because 70 times 4 is 280, and 280 is reasonably close to 201.6.
Solution:
63 x 3.2 = 201.6 miles.
There are three digits to the left of the decimal in the factors and three digits to the left of the decimal in the answer,
This is not proper reasoning
as 13 * 3.2 = 41.6 only ( only two digits instead of 3)
There is one digit to the right of the decimal in the factors and one digit to the right of the decimal in the answer, so Anna’s answer is reasonable.
This is also reasonable
Anna’s answer is reasonable because 60 times 3 is 180, and 180 is reasonably close to 201.6.
This is also reasonable
70 times 4 is 280, and 280 is reasonably close to 201.6.
neither 70 is close to 63 , nor 280 is close to 201.6
Not Valid reason
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Answer: Anna's answer is reasonable because 60 X 3 is 180, and 180 is reasonably close to 201.6.
hope this helpes