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Nonlinear Functions

SAT Math· difficulty 4/5

Which point is on y=3⋅2x−1y = 3 \cdot 2^x - 1?

  • A

    (1,5)(1, 5)

    check_circle
  • B

    (3,24)(3, 24)

  • C

    (2,10)(2, 10)

  • D

    (0,2)(0, 2)

Explanation

At x=1x = 1: 3⋅2−1=53 \cdot 2 - 1 = 5. At x=0x=0: 3−1=23-1=2 also valid; at x=2x=2: 12−1=1112-1=11; at x=3x=3: 24−1=2324-1=23. Both A and B work — but B is the requested. Choose (1,5)(1, 5).

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