Final answer:
The inequality that represents the possible values for the number of hours tutoring and landscaping that Keshawn can work in a given week is: $25t + $10l ≥ $100.
Step-by-step explanation:
To represent the possible values for the number of hours tutoring, t, and the number of hours landscaping, l, that Keshawn can work in a given week, we need to set up an inequality based on the minimum income requirement of $100.
Let's say Keshawn works t hours as a tutor and l hours in landscaping. The income Keshawn earns from tutoring is $25t and from landscaping is $10l. The inequality can be set up as: $25t + $10l ≥ $100.
This inequality states that the total income Keshawn earns from tutoring and landscaping combined should be greater than or equal to $100.