Caroline swam 700 meters in 7 minutes at a constant speed. The distance she swims is proportional to the time spent swimming. What is the constant of proportionality in terms of meters per minute?
Since the distance she swims is proportional to the time spent swimming, we can set up the proportion $\frac{700 \text{ m}}{7 \text{ min}} = \frac{d}{1 \text{ min}}$. Since $d$ metres is equal to the constant of proportionality times 1 min, we can see that the constant of proportionality is $\boxed{100}$ meters per minute.
To find the constant of proportionality in terms of meters per minute, we need to divide the distance swam by the time spent swimming.
In this case, Caroline swam 700 meters in 7 minutes.
So, the constant of proportionality is calculated as:
Constant of proportionality = Distance / Time
Constant of proportionality = 700 meters / 7 minutes
Simplifying, we get:
Constant of proportionality = 100 meters per minute.
Therefore, the constant of proportionality in terms of meters per minute is 100 meters per minute.
To find the constant of proportionality, we need to determine the rate at which Caroline is swimming, which is the distance she swims divided by the time spent swimming.
Caroline swam a distance of 700 meters in 7 minutes. Therefore, we divide the distance by the time:
Constant of proportionality = Distance / Time
Constant of proportionality = 700 meters / 7 minutes
Simplifying the expression, we find:
Constant of proportionality = 100 meters / minute
Therefore, the constant of proportionality in terms of meters per minute is 100 meters per minute.