Question

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.

Determine a linear function that models the cost, c, and the number of students, s.
Which statements about the linear function and its graph are correct? Check all that apply.

A. The linear model is f(s) = 4.5s + 50.
B. The linear model is f(c) = 54.5c + 24.
C. The domain is 0 ≤ x ≤ 24.
D .The range is 50 ≤ y ≤ 158.
E. The graph is continuous.

Answer 1

A, C, and D are the answers

Explanation:

Answer 2

Option A , C ,D

Explanation:

A nonrefundable deposit required for the day-long program = $50

Charge per person = $4.50

Let us suppose the number of students is s

So, Charge for s students = $4.50s

Let c denotes the total cost

So, total cost :
`c=50+4.50s`

So, Option A is correct : The linear model is f(s) = 4.5s + 50.

Total cost :
`c=50+4.50s`

We are given that total students are 24

Substitute s = 0

So,
`c=50`

Substitute s = 24

`c=50+4.50(24)`

`c=158`

So, Option C and D is also correct.

C. The domain is x

D .The range is y

Refer the attached figure

The graph is discrete .

So, Option E is incorrect.