Linear Functions

SAT Math· difficulty 3/5

The function ff is linear, f(2)=7f(2) = 7, and f(6)=19f(6) = 19. What is f(10)f(10)?

  • A

    27

  • B

    23

  • C

    31

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  • D

    35

Explanation

Slope =(197)/(62)=3= (19-7)/(6-2) = 3. From (6,19)(6, 19), f(10)=19+43=31f(10) = 19 + 4 \cdot 3 = 31.

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