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Linear Functions

SAT Math· difficulty 4/5

The graph of g(x)=af(x)+cg(x) = af(x) + c where f(x)=xf(x) = x passes through (0,5)(0, 5) and (2,11)(2, 11). What is aa?

  • A

    22

  • B

    33

    check_circle
  • C

    66

  • D

    55

Explanation

g(x)=ax+cg(x) = ax + c. g(0)=c=5g(0) = c = 5. g(2)=2a+5=11⇒a=3g(2) = 2a + 5 = 11 \Rightarrow a = 3.

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