algebra word problem

Question

nasir and ian decide to open a tutoring business. the two will evenly split the profit from the business. the office costs $300 per month to rent. they charge $30 an hour for their tutoring services.

 

A) Create a linear equation that models this situation

 

B) State the domain and range

 

C) State the domain and range in context of this problem

Answer 1

A) Each person's profit equals $15x-$150 a month.

 

B) D:(-infinity, infinity), R:(-infinity, infinity)

 

C) The domain is (0, 720) because they can't work negative hours and there are only 720 hours in a 30-day month. The range is (-150, 10650) because they each start at a loss of 150 at 0 hours and can work up to 720 hours in a 30-day month, so $15(720)-$150=10650