Question

A motel is purchasing new towels. Suites require 8 towels and individual rooms require 6 towels. The minimum order required by the towel vendor is 990 towels.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of suites receiving new towels
y = the number of individual rooms receiving new towels

Answer 1

To represent the situation with an inequality in standard form, we start by calculating the total number of towels needed based on the number of suites and individual rooms.

Given:
- Each suite requires 8 towels.
- Each individual room requires 6 towels.
- The minimum total number of towels needed is 990.

We can express this relationship mathematically using the variables \(x\) and \(y\):

- \(x\) = number of suites
- \(y\) = number of individual rooms

The total number of towels can be represented as:
\[
8x + 6y
\]

Since the motel needs at least 990 towels, we can set up the inequality:
\[
8x + 6y \geq 990
\]

To express this inequality in standard form (Ax + By ≥ C), we rearrange it:
\[
8x + 6y - 990 \geq 0
\]

In standard form, we write it as:
\[
8x + 6y \geq 990
\]

Thus, the inequality in standard form that describes this situation is:
\[
8x + 6y \geq 990
\]