In 2005, some data was taken on the number of women in certain age groups who ga

Question

In 2005, some data was taken on the number of women in certain age groups who gave birth.

Age of Women 22 27 32

Number of women per 1000 who gave birth 102 116 96  

(a) Determine f(x)=a(x-h)^2+k , so that f models this data. (NOT ax^2+bx+c ) (Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to “go through” all 3 points on the table when on “ZOOM STAT” [as boxes in the TI-83/84].)

(b) Estimate the number of women per 1000 who give birth at age 35 according to your model.

(c) Where does it look like f(x)=0 ? (You will likely need to expand your window, especially since you used “ZoomStat”.) What does this mean? Do you believe this? Is f(x) a perfect model of what really happens? (answer all 3 questions)

Explanation / Answer

182.6411054

a -0.019346274105125000 h 14.147147347919000000 k 108.476067931800000000 Number of women per 1000 who gave birth Age of Women 102 22 107.283 27.91046456 116 27 105.2801 114.9153064 96 32 102.3099 39.81533441

182.6411054

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