The table below shows the cost for a popular cruise. There is a booking fee plus a cost per day. Help Video
Number of Days Cost ($)
4 675
5 800
6 925
(10 points)
The cost per day is $___
The booking fee is $___
To find the cost per day, we can subtract the booking fee from the total cost and then divide by the number of days:
Cost per day = (Total cost - Booking fee) / Number of days
For the 4-day cruise:
Total cost = $675
Number of days = 4
Cost per day for 4-day cruise = ($675 - Booking fee) / 4
For the 5-day cruise:
Total cost = $800
Number of days = 5
Cost per day for 5-day cruise = ($800 - Booking fee) / 5
For the 6-day cruise:
Total cost = $925
Number of days = 6
Cost per day for 6-day cruise = ($925 - Booking fee) / 6
From the table, we can see that the differences between the costs of consecutive cruise durations are the same, indicating that the cost per day is a constant rate.
Let's calculate the cost per day for each cruise duration:
For the 4-day cruise:
Cost per day = ($675 - Booking fee) / 4
For the 5-day cruise:
Cost per day = ($800 - Booking fee) / 5
For the 6-day cruise:
Cost per day = ($925 - Booking fee) / 6
Since the cost per day is constant across all durations, we can set up the following equation:
($800 - Booking fee) / 5 = ($675 - Booking fee) / 4
$4($800 - Booking fee) = $5($675 - Booking fee)
$3200 - $4(Booking fee) = $3375 - $5 (Booking fee)
$3200 - $4 (Booking fee) = $3375 - $5 (Booking fee)
$3200 - $4 (Booking fee) = $3375 - $5 (Booking fee)
-$4 (Booking fee) + $5 (Booking fee) = $3375 - $3200
Booking fee = $175
Therefore, the cost per day is $125 and the booking fee is $175.