A family rents their spare bedroom to tenants. If the tenant stays less than 7 days the rental price is $65 per day. Once a tenant stays
seven or more days, the price is $375 plus $55 per day past seven. What are the constraints that apply to the above situation? Select all that apply.

A family rents their spare bedroom to tenants If the tenant stays less than 7 days the rental price is 65 per day Once a tenant stays seven or more days the pri class=

Respuesta :

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:

  • The input is the number of days x.
  • The output is the cost y.

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]

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