Section A Section A Checkpoint

Problem 1

A volume of 4 liters is approximately 17 cups. Han needs to fill a tank with 10 liters of water. How many cups is that? Show your reasoning.

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Solution

About 42.5 cups. Sample reasoning:

volume (liters) volume (cups)
4 17
2 8.5
10 42.5
Show Sample Response
Sample Response

About 42.5 cups. Sample reasoning:

volume (liters) volume (cups)
4 17
2 8.5
10 42.5

Problem 2

A distance of 8 kilometers is approximately 5 miles. A runner ran 3 miles. About how many kilometers did they run? Show your reasoning.
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Solution
About 4.8 or 245\frac{24}{5} kilometers (or equivalent). Sample reasoning: 1 mile is 85\frac{8}{5} or 1.6 kilometers, so 3 miles is 3⋅(1.6)=4.83 \boldcdot (1.6) = 4.8.
Show Sample Response
Sample Response
About 4.8 or 245\frac{24}{5} kilometers (or equivalent). Sample reasoning: 1 mile is 85\frac{8}{5} or 1.6 kilometers, so 3 miles is 3⋅(1.6)=4.83 \boldcdot (1.6) = 4.8.