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3000 + 50
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1. Evaluate the function:
a. If 30 students attend, how much will each pay?
b. If 50 students attend?
c. If 100 students attend?
Answer (1)
SolutionLet n = number of students and let f(n) be the amount each student pays when the total cost is a fixed $3000 plus $50 per student. The per-student cost is[tex]\boxed{\,f(n)=\frac{3000+50n}{n}=50+\frac{3000}{n}\,}[/tex]Step-by-step evaluationsa. If n = 30:[tex]f(30)=50+\frac{3000}{30}=50+100=150.[/tex]b. If n = 50:[tex]f(50)=50+\frac{3000}{50}=50+60=110.[/tex]c. If n = 100:[tex]f(100)=50+\frac{3000}{100}=50+30=80.[/tex]Bottom line (executive summary):per-student cost = 50 + 3000/n . As attendance rises, the fixed $3000 is spread thinner, lowering each student’s share.
