Car parking at an airport
The Watters family have decided to drive to the airport to go on holiday.
As their flight leaves very early in the morning they are going to spend the night prior to their departure in a hotel close to the airport.
They are planning to spend \(10\) days on holiday.
They have the following three options to choose from:
| Cost of hotel room | Cost of car parking | |
| Hotel A | \(\pounds125\) | \(\pounds5\) per day |
| Hotel B | \(\pounds75\) | \(\pounds7.50\) per day |
| Hotel C | \(\pounds140\) | no charge |
| Hotel A | |
| Cost of hotel room | \(\pounds125\) |
| Cost of car parking | \(\pounds5\) per day |
| Hotel B | |
| Cost of hotel room | \(\pounds75\) |
| Cost of car parking | \(\pounds7.50\) per day |
| Hotel C | |
| Cost of hotel room | \(\pounds140\) |
| Cost of car parking | no charge |
If the Watters were to choose the package that offered best value for money which hotel would they choose?
Cost for hotel A
Total cost = cost of hotel room + cost of parking
\(= \pounds125 + 10\) days at \(\pounds5\) per day
\(= \pounds125 + 10 \times £5\)
\(= \pounds125 + £50\)
\(= \pounds175\)
Cost for hotel B
Total cost = cost of hotel room + cost of parking
\(= \pounds75 + 10\) days at \(\pounds7.50\) per day
\(= \pounds75 + 10 \times \pounds7.50\)
\(= \pounds75 + \pounds75\)
\(= \pounds150\)
Cost for hotel C
Total cost = cost of hotel room + cost of parking
\(= \pounds140\) + no charge for parking
\(= \pounds140\)
Hotel C offers the best value for money.
Question
If the Watters family were only on holiday for \(7\) days would this alter their choice of hotel?
Cost for hotel A
Total cost = cost of hotel room + cost of parking
\(= \pounds125 + 7\) days at \(\pounds5\) per day
\(= \pounds125 + 7 \times \pounds5\)
\(= \pounds125 + \pounds35\)
\(= \pounds160\)
Cost for hotel B
Total cost = cost of hotel room + cost of parking
\(= \pounds75 + 7\) days at \(\pounds7.50\) per day
\(= \pounds75 + 7 \times \pounds7.50\)
\(= \pounds75 + \pounds52.50\)
\(= \pounds127.50\)
Cost for hotel C
Total cost = cost of hotel room + cost of parking
\(= \pounds140\) + no charge for parking
\(= \pounds140\)
Hotel B now offers the best value for money.