Nonlinear Functions

SAT Math· difficulty 4/5

A population satisfies P(t)=P04t/6P(t) = P_0 \cdot 4^{t/6} where tt is years. What is the doubling time?

  • A

    66 years

  • B

    33 years

    check_circle
  • C

    22 years

  • D

    44 years

Explanation

4t/6=2t/34^{t/6} = 2^{t/3}, so doubling occurs when t/3=1t/3 = 1, i.e., t=3t = 3 years.

Want 10 more like this — adaptive to your weak spots?

Related questions