Question

5. Write an inequality to represent the following constraint. Manufacturing one chair ( x ) requires 9 ft of aluminum tube, and manufacturing one table ( y ) requires 15 ft of aluminum tube. There are 550 ft of aluminum tubes available. ______ ≤ _______

Answer 1

To represent the constraint, the inequality is 9x + 15y ≤ 550.

Step-by-step explanation:

To write an inequality representing the constraint, we need to consider the amount of aluminum tube required to manufacture one chair and one table, and the total available aluminum tubes. Let x be the number of chairs and y be the number of tables. Since each chair requires 9 ft of aluminum tube, the total aluminum tube used for chairs is 9x. Similarly, each table requires 15 ft of aluminum tube, so the total aluminum tube used for tables is 15y. The sum of these two quantities should be less than or equal to the total available aluminum tubes, which is 550 ft. Therefore, the inequality is:

9x + 15y ≤ 550

Answer 2

We can interprete the question thus

`\begin{gathered} x\rightarrow9ft\text{ of aluminium } \\ y\rightarrow15ft\text{ of aluminium } \end{gathered}`

And the total aluminium available is 550 ft, so this means

`(9* x)+(15* y)\leq550`

Hence, the answer is

`9x+15y\leq550`