The-cost-of-maintaining-a-school-is-partly-constant-and-partly-varies-as-the-number-of-students-With-50-students-the-cost-is-15705-and-with-40-students-the-cost-is-13305-If-the-fee-per-student-is-

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Question Number 209065 by necx122 last updated on 01/Jul/24

$$Thecostofmaintainingaschoolis$$$$partlyconstantandpartlyvariesas$$$$thenumberofstudents.With50students$$$$thecostis\mathrm{\$}15705andwith40students$$$$thecostis\mathrm{\$}13305.Ifthefeeperstudent$$$$is\mathrm{\$}360.00,whatistheleastnumberof$$$$studentsforwhichtheschoolcanbe$$$$runwithoutloss?$$

Answered by mr W last updated on 01/Jul/24

$$Cost=a+bxwithx=numberofstudents$$$$15705=a+50b$$$$13305=a+40b$$$$\Rightarrow b=240,a=3705$$$$Fee=360x$$$$Fee⩾Cost$$$$360x⩾3705+240x$$$$\Rightarrow x⩾30.9\Rightarrow atleast31students$$

Commented by necx122 last updated on 01/Jul/24

$$Thankyousir.$$

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