Question

The student council sent its members on four field trips during the school year. The number of

buses needed to transport the members on each trip is a function of the number of members

who went on each trip. This function consists of only the ordered pairs (52, 3), (12, 4),

(86,5), and (105, 6). What is the domain for this situation?

F {52, 1053

G {3, 4, 5, 6}

H {52, 72, 86, 1053

1 {3, 4, 5, 6, 52, 72, 86, 105)

A.ZA

Answer 1

The domain of the function describing the number of buses needed for student council field trips, based on the number of members going, is {52, 12, 86, 105}.

Step-by-step explanation:

The domain of a function is the set of all possible input values for which the function is defined. In the context of the student council field trips, the domain refers to the number of members who went on each trip, since that is what determines the number of buses needed. From the given ordered pairs (52, 3), (12, 4), (86, 5), and (105, 6), where the first value in each pair represents the number of student council members, and the second value represents the number of buses, the domain is the set of the first values. Therefore, the domain for this function is {52, 12, 86, 105}.

Answer 2

Since the number of buses needed to transport the members on each trip is a function of the number of members who went on each trip, then the independent variable(x) of the function is the number of members who went on each trip and the dependent variable (y) is the number needed. Then each point that represent the function has the form (x,y).

Then, the domain of the function is the set of values that can take the independent variable. In this case, x can take the values
`A =\{52,12,86,105\}`, that is, A is the domain for this situation.