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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A ball's height is h(t)=−5t2+30th(t) = -5t^2 + 30t meters. When is the height 40 m?

  • A

    t=3t = 3 only

  • B

    t=2t = 2 and t=4t = 4

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  • C

    t=4t = 4 only

  • D

    t=1t = 1 and t=5t = 5

Explanation

−5t2+30t=40-5t^2 + 30t = 40, t2−6t+8=0t^2 - 6t + 8 = 0, (t−2)(t−4)=0(t-2)(t-4) = 0, t=2,4t = 2, 4.

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