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Linear Functions

SAT Math· difficulty 5/5

A retailer marks up cost by 40%40\%, then offers a 25%25\% discount. If xx is the original cost, the final price is best modeled by:

  • A

    1.05x1.05x

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  • B

    1.15x1.15x

  • C

    0.65x0.65x

  • D

    1.40⋅0.75⋅x1.40 \cdot 0.75 \cdot x

Explanation

Markup: 1.40x1.40x. Then discount: 0.75⋅1.40x=1.05x0.75 \cdot 1.40x = 1.05x.

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