Darell tutors at a neighborhood community center after school. He charges $20 for an hour-long tutoring session. The function P(t) represents the total amount, in dollars, that Darell earns for providing t tutoring sessions.

What is the domain of P(t)?

1 answer

The domain of P(t) represents all possible values that t can take. In this case, t represents the number of tutoring sessions. Since the number of tutoring sessions cannot be negative or a fraction (it must be a positive integer), the domain of P(t) is the set of all positive integers or {1, 2, 3, ...}.