If the person walked at a constant speed, what is the estimated value of the missing data?

Steps to Solve

1. Calculate the speed of the person To find the constant speed, we can use the distance and time data given in the table. The formula for speed is:

$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$

We'll use the distance at the 2-minute mark (150 m) and the 2 minutes to find the speed:

$$ \text{Speed} = \frac{150 \text{ m}}{2 \text{ min}} = 75 \text{ m/min} $$

2. Estimate the missing distance using the speed Now, we can use the calculated speed to find the missing distance corresponding to the 1-minute mark. We'll apply the same speed formula with the time of 1 minute:

$$ \text{Distance} = \text{Speed} \times \text{Time} $$

Thus,

$$ \text{Distance} = 75 \text{ m/min} \times 1 \text{ min} = 75 \text{ m} $$

3. Confirm the distances remain consistent We can check that the distances are consistent for other values. For 3 minutes, the distance should be:

$$ \text{Distance} = 75 \text{ m/min} \times 3 \text{ min} = 225 \text{ m} $$

And for 4 minutes, it should be:

$$ \text{Distance} = 75 \text{ m/min} \times 4 \text{ min} = 300 \text{ m} $$

This confirms our calculations are consistent.