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The daily cost of hiring a plumber,y,to work x hours on a repair project can be modeled using the linear function y=55x +75. The plumber charges a fixed cost of $75 plus sn additional cost of 55 per hour.The plumber works a maximum of 50 hours per week. For one week of work what is the domain of the function for this situation

Respuesta :

Answer:

Domain for the given situation is, [tex]0\leq x\leq 50[/tex]

Explanation:

Here, x represents the number of hours

and y represents the daily cost of hiring a plumber.

To repair project can be modeled using the linear function is:

y = 55x + 75

Since, it is also given that the plumber works a maximum of 50 hours per week.

Domain of the linear function is the complete set of possible values of the independent variable(i.e x)

⇒Domain of the given linear function for one week is;

[tex]0\leq x\leq 50[/tex]  or

In interval notations  [0, 50]  where x is the number of hours.

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