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252 Chapter 3 Exponential and Logarithmic Functions<br />
28. (a) Quadratic model: R 0.0136t 2 0.396t 1.01<br />
Coefficient of determination: 0.97730<br />
Exponential model: R 2.2961.0425 t<br />
Coefficient of determination: 0.90739<br />
Power model: R 1.480t 0.3791<br />
Coefficient of determination: 0.96052<br />
(b)<br />
4.5<br />
4.5<br />
4.5<br />
4 15<br />
0<br />
4 15<br />
0<br />
4 15<br />
0<br />
(c) The quadratic model fits best.<br />
(d) Using the quadratic model:<br />
Year 2005 2006 2007 2008 2009 2010<br />
Price 3.89 3.86 3.81 3.73 3.62 3.49<br />
Answers will vary.<br />
29. (a) Linear model: P 3.11t 250.9<br />
Coefficient of determination: 0.99942<br />
(c) Exponential model: P 251.571.0114 t<br />
Coefficient of determination: 0.99811<br />
350<br />
350<br />
0 15<br />
0<br />
(b) Power model: P 246.52t 0.0587<br />
Coefficient of determination: 0.90955<br />
350<br />
0 15<br />
0<br />
—CONTINUED—<br />
0 15<br />
0<br />
(d) Quadratic model: P 0.020t 2 3.41t 250.1<br />
Coefficient of determination: 0.99994<br />
350<br />
0 15<br />
0<br />
(e) The quadratic model is best because its<br />
coefficient of determination is closest to 1.<br />
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