Algebra 2 · Chapter 7 · Lesson 7.4 · Printable PDF

Doubling Time and Half Life Worksheet with Answer Key

6 problems on doubling time and half life: reading an exponential model, radioactive phosphorus-32, shares of a post, an online game's players, light fading with lake depth, and an app's falling daily users. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Doubling time and half life worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. For each model, give the starting amount, say if it doubles or halves and give the doubling time or half-life.
    y = 35 \cdot 2^{t/9}y = 2400\left(\dfrac{1}{2}\right)^{t/20}y = 18 \cdot 4^{t/10}y = 500 \cdot 2^{-t/3}y = 72\left(\dfrac{1}{4}\right)^{t}
  2. Word problem: how much phosphorus-32 was in the sample at the start.
  3. Word problem: how fast the shares of a post grow in its first hours.
  4. Word problem: players of a new online game doubling every 4 weeks.
  5. Word problem: sunlight brightness halving with each 4 meters of lake depth.
  6. Word problem: the half-life of an old messaging app's falling daily users.

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