Question

A hotel has 72 rooms to let to clients. The daily rent per room is R500. If the rent is increased by

R100 per day, 2 rooms can be left vacant daily.
The rent is Rx per room per day, where x > 500.

Answer 1

[72 − 2 ( − 500 over 100 )]

Explanation:

For every R100 that the price of a room increases, 2 rooms less are let.

To determine the amount of rooms that been let, the number of increases of R100 must be

determined because that value must be multiplied by 2 to subtract from 72.

Example: If the rooms are let for R800 per day, then the number of increases of R100 is 3.

Therefore: Number of increases = 800 − 500 over 100

Therefore, 72 - 2(3) = 66 rooms let.

Income will be: R800 x 66 = R52 800.

Now, the new price is not R800, but Rx, making the formula:

Number of increases = − 500 over 100

Therefore, the number of rooms let = 72 − 2 ( − 500 over 100 )

Therefore, the income = = [72 − 2 ( − 500 over 100 )]