Final answer:
A. Kerri's weekly pay function is P(h) = 15 × h.
B. The reasonable domain is the non-negative integers that a person could work in a week, like 0 to 40 hours.
C. The range of her weekly earnings would thus span from $0 to $600.
Step-by-step explanation:
A. The student asked about creating a function for Kerri's weekly pay from tutoring. Kerri earns $15 an hour, and the function that represents her weekly pay (P) based on the number of hours (h) she tutors would be: P(h) = 15 × h.
B. Part B requires us to find a reasonable domain for this situation. Since Kerri can only tutor for a finite number of hours each week, a reasonable domain would be the set of all non-negative integers that Kerri might realistically work, say from 0 hours to a maximum number she could work in a week, such as 40 hours: Domain = {0, 1, 2, …, 40}.
C. For Part C, the reasonable range of the situation is the possible earnings Kerri can make each week. This is dependent on the domain of hours she can work. If we take the maximum from the domain as 40 hours at $15 per hour, the range would be from $0 to $600: Range = {0, 15, 30, …, 600}.