you make necklaces and key chains to sell at a craft fair. The table shows the amounts of time and money it takes to make a necklace and a key chain, and the amounts of time and money you have available for making them.

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MrRoyal MrRoyal · Answer 1 · 2022-02-03T17:05:10+01:00

The table that represents the distribution of necklace and keychain is an illustration of linear inequalities

The true statement is that, you cannot make more than 30 necklaces and 20 keychains, respectively

The term "available" means less than or equal to.

Using the data on the table (see attachment), we have the following system of inequalities

[tex]0.5x + 0.25y \le 20[/tex]

[tex]2x + 3y \le 120[/tex]

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Next we plot the graph of the inequalities (see attachment)

From the attached graph, the solution to the system of inequalities is:

(x,y) = (30,20)

This means that:

You cannot make more than 30 necklaces and 20 keychains, respectively