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Nonlinear Functions

SAT Math· difficulty 5/5

Data: t=0,y=100t=0, y=100; t=1,y=80t=1, y=80; t=2,y=64t=2, y=64; t=3,y=51.2t=3, y=51.2. Which model?

  • A

    y=100(0.64)ty = 100(0.64)^t

  • B

    y=100(0.8)ty = 100(0.8)^t

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  • C

    y=100/(1+t)y = 100/(1+t)

  • D

    y=100−20ty = 100 - 20t

Explanation

Each ratio: 80/100=0.880/100 = 0.8, 64/80=0.864/80 = 0.8. So y=100(0.8)ty = 100(0.8)^t.

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