The equation that models this trip is T = 36x + 60 where T represents the total cost for the group to take the trip and X equals the number of people going. What values are appropriate for the domain?

A) x=40

B) x=60

C) 0< x< 40

D) 0< x< 39

We are given

The equation that models this trip is T = 36x + 60

T represents the total cost for the group to take the trip and

X equals the number of people going

we know that

Domain is all possible values of x for which any function is defined

Since, number of people can neither be negative nor in decimals

so, x can not be negative or in decimals

now, we will check each options

option-A:

x=40

This is positive and whole number

so, this can be domain

so, this is TRUE

option-B:

x=60

This is positive and whole number

so, this can be domain

so, this is TRUE

option-C:

0< x< 40

It also includes decimals numbers

and we know that

x can not be in decimals

so, this is FALSE

option-D:

0< x< 39

It also includes decimals numbers

and we know that

x can not be in decimals

so, this is FALSE

c

Step-by-step explanation:

The number of people going can include zero, Since the bus can hold only40 people, the number must also be less than or equal to 40.