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Find a Power Function That Models the Data in the Table

Question 14

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The following points form a quadratic relationship: (1, 5.0) , (2, 4.4) , (3, 4.3) , (4, 4.2) , (5, 4.6) , (6, 4.8) , (7, 5.4) , (8, 6.2) . The x-coordinates are the years a particular company has been in operation and the y-coordinates are the
Profit, in millions, for that year. Find the quadratic function that models the profit in millions as a function of x,
The number of years of operation. Round to three decimal places.


A) y=0.099x2+1.254x3.512y = 0.099 x ^ { 2 } + 1.254 x - 3.512
B) y=0.101x20.723x+5.552y = 0.101 x ^ { 2 } - 0.723 x + 5.552
C) y=0.203x20.945x+7.098y = 0.203 x ^ { 2 } - 0.945 x + 7.098
D) y=0.003x2+0.145x0.892y = - 0.003 x ^ { 2 } + 0.145 x - 0.892

Correct Answer:

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