Final answer:
Kaitlin runs each lap in 5 minutes and wants to run more than 30 minutes. The inequality is 5n > 30 which solves to n > 6, meaning Kaitlin can run more than 6 laps.
Step-by-step explanation:
The question asks us to determine the possible numbers of laps Kaitlin will run today if she runs each lap in 5 minutes and intends to run for more than 30 minutes. To represent this scenario as an inequality where n is the number of laps Kaitlin will run:
Since Kaitlin runs each lap in 5 minutes and wants to run for more than 30 minutes, we can write the inequality:
5n > 30
To solve for n, we divide both sides of the inequality by 5:
n > 30 / 5
n > 6
Therefore, the possible numbers of laps Kaitlin can run today are all whole numbers greater than 6.