The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x. Select all the possible outputs for the function defined by c(x) = 30x. A. 20 B. 30 C. 50 D. 90 E. 100

Respuesta :

Answer:options B and D are the correct answers.

Step-by-step explanation:

The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.

The function is defined by

C(x) = 30x

The values of x must be whole numbers. Therefore, the possible outputs for the defined function would be

B. 30 which means the cost for only one student.

D. 90 which means the total cost for 3 students.

The possible outputs for the function defined by c(x) = 30x are 30 and 90.

Options B and D are correct

The function representing the cost of the field trip is given as:

C(x)  =  30x

where the cost of the field trip per student = $30

x represents the number of students participating in the field trip

For any output to represent the total cost of the trip, x must be a whole number because it represents students

If x = 1

C(2) = 30(1)

C(2) = 30

If x = 3

C(3) = 30(3)

C(3) = 90

Other outputs given in the option are not possible outputs for the function because they do not give a whole number value of x

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