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(Step-by-Step) Stabilization ratio. The stabilization ratio (births/deaths) for South and Central America can be modeled by the formula y=-0.0012 x^2+0.074

Question: Stabilization ratio. The stabilization ratio (births/deaths) for South and Central America can be modeled by the formula

\[y=-0.0012 x^{2}+0.074 x+2.69\]

where \(y\) is the number of births divided by the number of deaths in the year \(1950+x\)

  1. Use the graph to estimate the year in which the stabilization ratio was at its maximum.
  2. Use the formula to find the year in which the stabilization ratio was at its maximum.
  3. What was the maximum stabilization ratio from part (b)?
  4. What is the significance of a stabilization ratio of 1?

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