The table below shows the cost at a popular cruise with a minimum for 2 days. Click Here for Help Video

Question

Number of Days
Cost ($)
2
560
560
3
735
735
4
910
910

The cost per day is $
.

The initial cost is $
.

Answer 1

To determine the cost per day and the initial cost, we'll analyze the provided data.

1. Cost per day:
   • For 2 days, the cost is $560.
   • For 3 days, the cost is $735.
   • For 4 days, the cost is $910.

To find the daily cost, we'll calculate the difference in cost for each additional day:

• From 2 days to 3 days: \[ \text{Cost for 3 days} - \text{Cost for 2 days} = 735 - 560 = 175 \quad \text{(additional cost for 1 more day)} \]

• From 3 days to 4 days: \[ \text{Cost for 4 days} - \text{Cost for 3 days} = 910 - 735 = 175 \quad \text{(additional cost for 1 more day)} \]

This indicates that the cost per additional day is constant:

\[ \text{Cost per day} = 175 \]

2. Initial cost: The initial cost is essentially the fixed cost for the minimum stay, which we can identify from the 2-day cost:

\[ \text{Initial cost} = \text{Cost for 2 days} = 560 \]

Thus, summarizing the results:

• The cost per day is $175.
• The initial cost is $560.