SOLUTION: 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

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 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       Log On


   

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.
Use the formula to find the year in which the stabilization ratio was at its maximum?
What was the maximum stabilization ration from above?
What is the significance of a stabilization ratio of 1?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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.
:
Use the formula to find the year in which the stabilization ratio was at its maximum?
:
Find the axis of symmetry of the equation; x = %28-b%29%2F%282a%29 a=-.0012; b=.074
x = %28-.074%29%2F%282%28-.0012%29%29
x = %28-.074%29%2F%28-.0024%29
x = 30.83
Max stability occurred 1950 + 30.83 in 1980, (about October)
:
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
:
What is the significance of a stabilization ratio of 1?
That would occur when deaths = births