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A study compared the number of users x (in millions) and the number of connections between users y (in millions) of a social network. The results are shown in the following table.

Use a graphing calculator to find a model for the data and answer this question by giving values for a, b, and c, where a, b, and c are constants in the equation y = ax2+bx+c. Leave all commas out of large numbers and round all three answers to the nearest thousandth.

x

10

20

30

40

50

60

70

80

90

100

110

y

42.4

47.5

53.2

54.1

54.9

56.7

57.2

56.9

57.3

56.1

54.3

 

a =

b =

c =

Correct!