Manuel, an architect, is designing a hotel in Belmont. Single rooms take up 31 square meters of space and suites take up 107 square meters of space. In total, there are a maximum of 6,260 square meters available.
Select 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
31x + 107y < 6,260
31 + x + 107 + y < 6260
31x + 107y ≤ 6260
31 + x +107 + y ≤ 6260
31x + 107y ≤ 6260
How did you solve this question?
To determine the correct inequality in standard form that describes the situation, we need to consider the total square meters available and how many square meters each type of room takes up.
Since a single room takes up 31 square meters and a suite takes up 107 square meters, we can generate an inequality using the number of single rooms (x) and suites (y). The total space available is 6,260 square meters, so the total square meters taken up by the single rooms and suites combined should be less than or equal to this number.
Therefore, the correct standard form inequality is:
31x + 107y ≤ 6260
This inequality means that the total square meters taken up by the single rooms (31x) and suites (107y) should be less than or equal to 6260 square meters.