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:
- The total distance of the race is 2,000 meters.
- 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:
- 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.
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