23
QuizMultiple Choice

Unit Test — Unit test

Question 23 • 25-26 CRX Math Models with Applications 7052A

The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Use a graphing calculator to determine the exponential regression equation that best fits the VHS rental data. Let x represent the number of years since 2000. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 7.8 6.3 5.1 4.4 3.6 3.1

Answer
A
y = 9.75(0.08197)x
B
y = 10.50(0.08217)x
C
y = 9.87(0.8213)x
D
y = 10.50(0.80662)x

Explanation

Enter the years since 2000 as x = 0, 1, …, 6 and the rental figures as y-values, then run an exponential regression of the form y = a(b)^x. The regression gives approximately y = 9.87(0.8213)^x, so choice C is the best fit. The base is less than 1, which matches the decline in rentals over time.

AI-written and checked against the verified answer.

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