Dominic swims laps for his swim team for 20 minutes each day. As his swimming speed increases, he completes more laps during his practice.
N = number of laps completed
T = Dominic's swimming speed
Given the information provided, there is a direct relationship between N (number of laps completed) and T (Dominic's swimming speed). As Dominic's swimming speed (T) increases, he will be able to complete more laps (N) within the fixed 20-minute practice time.
We can express this relationship with an equation of direct variation:
N = kT
Where:
- N is the number of laps completed.
- T is Dominic's swimming speed.
- k is the constant of proportionality, which relates the number of laps completed to the swimming speed.
In this context, k would represent the number of laps Dominic can complete per unit of speed within the 20-minute timeframe. If we had more specific information about Dominic's speed or how many laps he completes at that speed, we could determine the exact value of k.
However, without the actual values of k, N, or T, we can only say that if Dominic speeds up, the value of N will increase, assuming the practice time remains constant at 20 minutes.