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Linear Functions

SAT Math· difficulty 5/5

A linear function f(x)=mx+bf(x) = mx + b has f(2)=7f(2) = 7 and f(5)=16f(5) = 16. The value f(10)=?f(10) = ?

  • A

    3131

    check_circle
  • B

    2525

  • C

    2828

  • D

    3434

Explanation

Slope =(16−7)/(5−2)=3= (16-7)/(5-2) = 3; b=7−3(2)=1b = 7 - 3(2) = 1; f(10)=30+1=31f(10) = 30 + 1 = 31.

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