school
Acemy

Nonlinear Functions

SAT Math· difficulty 5/5

A function f(t)=80⋅2t/5f(t) = 80 \cdot 2^{t/5}. Which equivalent form shows the rate of change per year?

  • A

    80⋅2t80 \cdot 2^t

  • B

    80⋅(21/5)t80 \cdot (2^{1/5})^t

    check_circle
  • C

    80+2t/580 + 2t/5

  • D

    80t⋅2/580^t \cdot 2/5

Explanation

2t/5=(21/5)t2^{t/5} = (2^{1/5})^t, so the per-unit-time multiplier is 21/5≈1.1492^{1/5} \approx 1.149, i.e., 14.9% per year.

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

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode