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Find a Quadratic Function That Models the Data x=0\mathrm{x}=0 Correspond to 1970 and Let

Question 240

Multiple Choice

Find a quadratic function that models the data.
-The table shows the population of a city in selected years. Data are in thousands rounded to the nearest hundred.
 Find a quadratic function that models the data. -The table shows the population of a city in selected years. Data are in thousands rounded to the nearest hundred.   Let  \mathrm{x}=0  correspond to 1970 and let  \mathrm{f}(\mathrm{x})   be the population of the city (in thousands)  in year  \mathrm{x} . Using the point  (0,77.9)   as the vertex and and the data from 1995, determine a quadratic function  f(x) =a(x-h) ^{2}+k  that models the data. A)   f(x) =1.58 x^{2}+77.9  B)   f(x) =0.079 x^{2}+77.9  C)   f(x) =0.0632 x^{2}+77.9  D)   f(x) =0.31248 x^{2}-77.9
Let x=0\mathrm{x}=0 correspond to 1970 and let f(x) \mathrm{f}(\mathrm{x}) be the population of the city (in thousands) in year x\mathrm{x} . Using the point (0,77.9) (0,77.9) as the vertex and and the data from 1995, determine a quadratic function f(x) =a(xh) 2+kf(x) =a(x-h) ^{2}+k that models the data.


A) f(x) =1.58x2+77.9f(x) =1.58 x^{2}+77.9
B) f(x) =0.079x2+77.9f(x) =0.079 x^{2}+77.9
C) f(x) =0.0632x2+77.9f(x) =0.0632 x^{2}+77.9
D) f(x) =0.31248x277.9f(x) =0.31248 x^{2}-77.9

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