Question

Systems of Linear Equations Online Practice
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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. - no response given

Catamaran Command; choose this charter for more than 7 customers.
Catamaran Command; choose this charter for more than 7 customers. - no response given

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

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

Answer 1

To determine which charter company is more cost-effective for a group of 10 customers, let's calculate the total cost for each company.

1. **Maritime Voyage:**
- Boat rental: $250
- Cost per person: $25
- Total cost for 10 customers:
\[
\text{Total Cost} = 250 + (25 \times 10) = 250 + 250 = 500 \text{ dollars}
\]

2. **Catamaran Command:**
- Boat rental: $75
- Cost per person: $50
- Total cost for 10 customers:
\[
\text{Total Cost} = 75 + (50 \times 10) = 75 + 500 = 575 \text{ dollars}
\]

Now comparing the total costs:
- Maritime Voyage: $500
- Catamaran Command: $575

Since $500 is less than $575, the group should choose **Maritime Voyage** for their charter.

Therefore, the best choice is:
**Maritime Voyage; choose this charter for more than 7 customers.**