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Linear Functions

SAT Math· difficulty 4/5

A linear function has the table values f(1)=8f(1) = 8, f(4)=17f(4) = 17, f(7)=26f(7) = 26. What is f(0)f(0)?

  • A

    5

    check_circle
  • B

    3

  • C

    6

  • D

    4

Explanation

Slope =(17−8)/(4−1)=3= (17 - 8)/(4 - 1) = 3. f(x)=3x+bf(x) = 3x + b. From f(1)=8f(1) = 8: b=5b = 5. So f(0)=5f(0) = 5.

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