Systems of Linear Equations Online Practice

Question

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Question
Two boating charter companies operate out of a port. Maritime Voyage charges $250 for the boat rental and $25 per person. Catamaran Command charges $75 for the boat rental and $50 per person. If a group has 10 customers, which charter should they choose? (1 point)
Responses

Maritime Voyage; choose this charter for more than 7 customers.
Maritime Voyage; choose this charter for more than 7 customers.

Catamaran Command; choose this charter for less than 13 customers.
Catamaran Command; choose this charter for less than 13 customers.

Maritime Voyage; choose this charter for less than 13 customers.
Maritime Voyage; choose this charter for less than 13 customers.

Catamaran Command; choose this charter for more than 7 customers.

Answer 1

To determine which charter company is the better choice for a group of 10 customers, we can calculate the total cost for each company.

Maritime Voyage:

• Boat rental cost: $250
• Cost per person: $25
• Total cost for 10 customers: \[ \text{Total Cost} = \text{Boat rental} + (\text{Cost per person} \times \text{Number of customers}) \] \[ \text{Total Cost} = 250 + (25 \times 10) = 250 + 250 = 500 \]

Catamaran Command:

• Boat rental cost: $75
• Cost per person: $50
• Total cost for 10 customers: \[ \text{Total Cost} = \text{Boat rental} + (\text{Cost per person} \times \text{Number of customers}) \] \[ \text{Total Cost} = 75 + (50 \times 10) = 75 + 500 = 575 \]

Comparison:

• Total cost for Maritime Voyage: $500
• Total cost for Catamaran Command: $575

Since $500 (Maritime Voyage) is less than $575 (Catamaran Command), the group of 10 customers should choose Maritime Voyage.

Thus, the correct response is: Maritime Voyage; choose this charter for more than 7 customers.