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14. The total monthly cost, $C, of running akindergarten with an enrolment of n childrenconsists of a fixed amount of $5000 and avariable amount which depends on theenrolment. For every child enrolled, thevariable amount is $41.(a) Calculate the total monthly cost of runningthe kindergarten if the enrolment is 200.(b) If the total monthly cost of running thekindergarten is $20 580, calculate thenumber of children attending thekindergarten.(c) Write down a formula connecting C andn.(d) Sketch the graph of C against n. Is thisrelationship a direct proportion between Cand n? Explain. |
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Answer» Given : The total monthly cost, $C, of running a kindergarten with an enrolment of N children consists of a FIXED amount of $5000 and a variable amount which depends on the enrolment. For every child enrolled, the variable amount is $41. To find : Cost if enrolment is 200. enrolments if cost is $20 580 Draw graph Solution: Fixed Cost = $ 5000 Variable Cost per enrollment = 41 $ Students enrolled = n Variable cost = 41n $ => Total Cost C = 5000 + 41n $ C = 5000 + 41n (a) Calculate the total monthly cost of running the kindergarten if the enrollment is 200. => C = 5000 + 41(200) => C = 5000 + 8200 => C = 13200 $ (b) If the total monthly cost of running the kindergarten is $20 580, calculate the number of children attending the kindergarten. => 20580 = 5000 + 41n => 15580 = 41n => n = 380 380 enrollments C = 5000 + 41n relationship is not a direct proportion between C and n as there is fixed cost involved but its a linear relation Learn more: From the linear EQUATION of the relation between your and your ... A bank gives 10% Simple Interest (S.I.) on deposits by senior ... |
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