Question 149912
The stabilization ratio (birth/death)for south and central America can be modeled by the formula y= -0.0012x^2 + 0.074x + 2.69 where y is the number of birth divided by the number of deaths in the year 1950 + x.
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Use the formula to find the year in which the stabilization ratio was at its maximum?
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Find the axis of symmetry of the equation; x = {{{(-b)/(2a)}}} a=-.0012; b=.074
x = {{{(-.074)/(2(-.0012))}}}
x = {{{(-.074)/(-.0024)}}}
x = 30.83
Max stability occurred 1950 + 30.83 in 1980, (about October)
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What was the maximum stabilization equation from above?
Substitute 30.83 for x in the equation and find y:
y = -.0012(30.83^2) + .074(30.83) + 2.69
y = -.0012(950.674) + 2.28 + 2.69
y = -1.14 + 2.28 + 2.69
y = 3.83 is the max birth/death ratio
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What is the significance of a stabilization ratio of 1?
That would occur when deaths = births