Question

Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?

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1. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

2. The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.

3. The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.

4. The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.

Answer 1

Answer: Sebastian drove 95.7 miles thus making his calculations more accurate than his estimate.

Explanation: His estimate is not very far off; it is lower than his actual distance because he rounded the amount of time and speed down/. Distance is equal to speed multiplied by time. D = S × T . So his time (2.2 hours) multiplied by speed (43.5 mph) equals 95.7

Answer 2

Answer: 1

Step-by-step explanation:

The actual product is reasonable because the estimated answer was rounded down, but not very much.

The hours lost 0.2 hours.

The distance lost 3.5

There are still 2 hours left, which is the majority of the time.

There are still 40 miles left which is a vast majority of the distance.

Using d = R * T

R = 40 miles / hour (not 43.5 miles hour)

T = 2 hours (not 2.2 hours)

So 40 * 2 = 80 is a good estimate.

He knows he's gone further because he rounded down in both cases.