Final answer:
The possible numbers of laps Mai will run today are any number less than 9.
Step-by-step explanation:
To find the possible numbers of laps Mai will run today, we need to divide the total time she will run by the time it takes to run each lap.
Since Mai wants to run less than 45 minutes, we can write the inequality as: 5n < 45, where n represents the number of laps she will run.
To solve for n, we divide both sides of the inequality by 5 and simplify: n < 9.
Therefore, the possible numbers of laps she will run today are any number less than 9.