Question

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?

Answer 1

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.