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Question

Marcus was training for a 2,000 meter race. He had to alternate between running and walking.

If Marcus ran 1,600 meters, which statement is true?
Responses
A For every 4 meters Marcus ran, he walked 1 meter.For every 4 meters Marcus ran, he walked 1 meter.
B For every 2 meters Marcus ran, he walked 1 meter.For every 2 meters Marcus ran, he walked 1 meter.
C For every meter Marcus ran, he walked 4 meters.For every meter Marcus ran, he walked 4 meters.
D For every meter Marcus ran, he walked 2 meters.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
6 hours ago

To determine which statement is true, we need to look at the relationship between the distance Marcus ran (1,600 meters) and the distance he walked.

Assuming he was training for a total of 2,000 meters:

1. The total distance of the race is 2,000 meters.
2. If Marcus ran 1,600 meters, this means he walked the remaining distance:
\[
2,000 \text{ meters} - 1,600 \text{ meters} = 400 \text{ meters}
\]

Now, let's find the rate of running to walking:

- Marcus ran 1,600 meters and walked 400 meters.

To express this in a ratio, we can look at the relationship:

1. For every 1 meter Marcus ran, he walked:
\[
\frac{400 \text{ meters walked}}{1,600 \text{ meters run}} = \frac{1}{4}
\]

This means for every 4 meters he ran, he walked 1 meter.

Now let's match this result with the provided options:

A: For every 4 meters Marcus ran, he walked 1 meter. (This is true.)
B: For every 2 meters Marcus ran, he walked 1 meter. (This is false; that would suggest a 2:1 ratio.)
C: For every meter Marcus ran, he walked 4 meters. (This is false; it suggests the opposite ratio.)
D: For every meter Marcus ran, he walked 2 meters. (This is false; that implies a 1:2 ratio.)

Thus, the correct statement is:

**A: For every 4 meters Marcus ran, he walked 1 meter.**