Linear Functions

SAT Math· difficulty 4/5

A printer's cost to produce nn pamphlets is C(n)=0.40n+250C(n) = 0.40n + 250 dollars. If pamphlets sell for 1.00each,whatisthesmallest1.00 each, what is the smallest n$ for which the printer breaks even?

  • A

    500

  • B

    350

  • C

    400

  • D

    417

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Explanation

Break-even: 1.00n=0.40n+2501.00n = 0.40n + 250, so 0.60n=2500.60n = 250 and n=416.67n = 416.67. Smallest integer: 417417.

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