A garden sells two types of potted palm trees. the Mediterranean palm sells for $150 each and palmetto palm sells for $125 each. the store wants to sell a total of at least 15 of the plants each day and have a total sale of at least $2000. which system of any qualities can be used to determine X, the number of Mediterranean palms,and y, the number of palmetto palms that must be sold.

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Hello, to find the first equation, we first consider the fact that the store wants to sell a total of at least 15 of the plants a day. Denoting the number of Mediterranean palms by x and palmetto palms by y, then this equation will be:

[tex]x+y\geq15[/tex]

For the second one, we consider that the store needs to sell at least $2000. Knowing that a Mediterranean palm is worth $150 each and that the palmetto palm is worth $125 each, we arrive at the following equation:

[tex]150x+125y \geq 2000[/tex]

ANSWER: The systems of inequalities consist of the following equations:
[tex]x+y\geq15[/tex]
[tex]150x+125y \geq 2000[/tex]