Choose an appropriate problem-solving strategy to solve this problem. It takes Orlando about 5 minutes to walk around the block. He takes about 600 steps from start to finish. Orlando travels about 15 feet in 6 steps. About how many feet does Orlando travel when he walks around the block? Explain how you arrived at your answer.

Question

Mathematics

Dane Hansen

14 April, 03:35

Choose an appropriate problem-solving strategy to solve this problem. It takes Orlando about 5 minutes to walk around the block. He takes about 600 steps from start to finish. Orlando travels about 15 feet in 6 steps. About how many feet does Orlando travel when he walks around the block? Explain how you arrived at your answer.

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Answers (1)

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Desiree Sims · Answer 1

Orlando travels 1500 feet when he walks around the block

Step-by-step explanation:

Proportions

We can solve many problems using the concept of proportions which means that two variables can be related by multiplying one of them by a constant value.

The questions provides us some information about how Orlando walks around the block.

We know he takes about 600 steps from start to finish of his walk around the block. We also know he goes 15 feet in 6 steps.

That information is quite enough to calculate the number of feet Orlando travels. If he travels 15 feet in 6 steps, then it's logical to assume (by proportions) he travels 1500 feet in 600 steps. Note we multiplied both quantities by 100 because they are proportional.

We calculated Orlando travels 1500 feet in 600 steps, but we didn't multiply by 100 only just because of nothing since he walks 600 steps in the whole walk, we can assure:

Orlando travels 1500 feet when he walks around the block