Modeling Environmental Changes with Arithmetic Sequences

00:00 5 marks

  • Build Confidence
  • SL & HL
  • Tier 4
  • Data analysis
  • Arithmetic sequences
  • Arithmetic series

A city has been monitoring its annual average CO2 emission levels. In the first year, the emission level was 500 ppm (parts per million) and it increased steadily by 8 ppm each year.

Using this arithmetic sequence model, determine after how many years the emission level will first exceed 600 ppm.

Hint Hint

Hint

Set up the inequality \(500 + (n-1) \times 8 > 600\) and solve for \(n\).

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Complete Answer

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