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the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the function that best represents the depth of the pond each week and how deep is the pond after 8 weeks? Round your answer to the nearest foot.

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sqdancefan

Answer:

  • d = 10(1.03^t)
  • 13 ft

Step-by-step explanation:

For t in weeks, a reasonable exponential function describing the dept (d) might be ...

  d = 10(1.03^t)

Then, after 8 weeks, the depth is predicted to be ...

  d = 10(1.03^8) ≈ 12.67 ft ≈ 13 ft

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