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Linear Functions

SAT Math· difficulty 4/5

A linear function ff has f(3)=−2f(3) = -2 and f(7)=10f(7) = 10. For what value of xx is f(x)=25f(x) = 25?

  • A

    253\frac{25}{3}

  • B

    373\frac{37}{3}

  • C

    12

    check_circle
  • D

    10

Explanation

Slope =(10−(−2))/(7−3)=3= (10 - (-2))/(7 - 3) = 3. So f(x)=3x+bf(x) = 3x + b. From f(3)=−2f(3) = -2: b=−11b = -11. Set 3x−11=253x - 11 = 25: x=12x = 12.

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