Quadratics: Just write out your solution:Problem #43Sales of digital cameras in the United States (in millions of dollars) between 2000 and
2006 are shown in the table. In the year column, 0 represents 2000, 1 represents 2001, and so on.
Source: Consumer
Electronics Association.
Year Sales
0 1825
1 1972
2 2794
3 3921
4 4739
5 5611
6 7805
(a) Use the ordered pairs (year, sales) to make a scatter diagram of the data.
(b) Use the scatter diagram to decide whether a linear or quadratic function would better model the data. If quadratic, should the coefficient a of be positive or negative?
(c) Use the ordered pairs 0, 1825 , 3, 3921 , and 6, 7805 to find a quadratic function that models the data. Round the values of a, b, and c in your model to the nearest tenth, as necessary.
(d) Use your model from part (c) to approximate the sales of digital cameras in the United States in 2007. Round your answer to the nearest whole number (of millions).
(e) Sales of digital cameras were $6517 million in 2007. Based on this, is the model valid for 2007? Explain.