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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

A rocket's height is h(t)=−16t2+80t+96h(t) = -16t^2 + 80t + 96 feet. When does it hit the ground?

  • A

    t=5t = 5

  • B

    t=6t = 6

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  • C

    t=8t = 8

  • D

    t=4t = 4

Explanation

−16t2+80t+96=0-16t^2 + 80t + 96 = 0, t2−5t−6=0t^2 - 5t - 6 = 0, (t−6)(t+1)=0(t-6)(t+1) = 0, t=6t = 6.

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