Question

The table below shows the cost for a popular cruise. There is a booking fee plus a cost per day.
number of days. cost($).
4. 675.
5. 800.
6 925.


cost per day is $ ___
The booking day fee is $. ___

Answer 1

To determine the cost per day and the booking fee, we can analyze the data provided in the table.

Let:
- \( b \) = booking fee
- \( d \) = cost per day

From the information given, we can create the following equations based on the number of days and the total cost:

1. For 4 days:
\[ 4d + b = 675 \]

2. For 5 days:
\[ 5d + b = 800 \]

3. For 6 days:
\[ 6d + b = 925 \]

Now we can solve for \( d \) and \( b \).

### Step 1: Subtract the equations to eliminate \( b \)

Subtract the first equation from the second:
\[ (5d + b) - (4d + b) = 800 - 675 \]
\[ d = 125 \]

Subtract the second equation from the third:
\[ (6d + b) - (5d + b) = 925 - 800 \]
\[ d = 125 \]

### Step 2: Substitute \( d \) back to find \( b \)

Using one of the equations, let's use the first:
\[ 4(125) + b = 675 \]
\[ 500 + b = 675 \]
\[ b = 675 - 500 \]
\[ b = 175 \]

### Results
- Cost per day \( d \) is $125.
- Booking fee \( b \) is $175.

Thus, the final answers are:
- Cost per day is $125.
- The booking fee is $175.