Using a piece-wise function, the constraints are:
[tex]65x, x < 7[/tex]
[tex]375 + 55x, x \geq 7[/tex]
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A piece-wise function is a function that has multiple definitions, depending on the value of the input.
In this problem:
Less than 7 days the rental price is $65 per day.
Thus, one constraint is:
[tex]65x, x < 7[/tex]
Once a tenant stays seven or more days, the price is $375 plus $55 per day past seven.
Thus, the other constraint is:
[tex]375 + 55x, x \geq 7[/tex]
A similar problem is given at https://brainly.com/question/24851625