Question

The history museum charges a $10 fee plus $15 per student for a field trip.

The aquarium charges a $20 fee plus $10 per student. The lines in the graph
represent the cost of each field trip,
For what number of students will the total cost of each field trip be the same,
and what will that cost be?

O A. 120 students: $10
O B. 2 students: $40
O G. 40 students: $2
OD. 10 students: $120

Need help fast

Answer 1

Method 1

Write an equation for the total cost for each trip.

The history museum

Let the number of students = n

Total cost = 10 + 15n

The aquarium

Let the number of students = n

Total cost = 20 + 10n

Next, equate the two equations to find what number of students will the total cost of each field trip be the same.

`\begin{gathered} 10\text{ + 15n = 20 + 10n} \\ 15n\text{ - 10n = 20 - 10} \\ 5n\text{ = 10} \\ n\text{ = }(10)/(5) \\ n\text{ = 2} \end{gathered}`

The number of students = 2

The cost = 20 + 10(2) = 20 + 20 = $40

Answer

2 studnets; $40

Method 2:

To find number of students will the total cost of each field trip be the same.

From the graph, look for the point where the two graphs intercept.

Read the number of students as 2 and the cost as $40

Final answer

2 studnets; $40 Option B