Question

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

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**.