Question

samuel, an architect, is designing a hotel in dover. single rooms take up 33 square meters of space and suites take up 150 square meters of space. in total, there are a maximum of 8,800 square meters available. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of single rooms y = the number of suites

Explanation:

Step1: Calculate space for single rooms

The space taken by single rooms is $33x$ (since each single room is 33 square meters and there are $x$ single rooms).

Step2: Calculate space for suites

The space taken by suites is $150y$ (since each suite is 150 square meters and there are $y$ suites).

Step3: Total space and inequality

The total space used by single rooms and suites should be less than or equal to the maximum available space (8800 square meters). So the inequality is $33x + 150y \leq 8800$.

Answer:

$33x + 150y \leq 8800$