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Exponential vs. linear growth over time

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Lucia and Maria are business women who decided to invest money by buying farm land in Brazil.
  • Lucia bought 11 hectares of land in the first month, and each month afterwards she buys 5 additional hectares.
  • Maria bought 6 hectares of land in the first month, and each month afterward her total number of hectares increases by a factor of 1.4.
They started their investments at the same time, and they both buy the additional land at the beginning of each month.
What is the first month in which Maria's amount of land exceeds Lucia's amount of land?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi