Question

music the scatter plot shows the number of cds in millions that were sold from 1999 to 2005. use the points $(1999,940)$ and $(2002,805)$ to find a line of fit for the data. then use the line of fit to estimate the number of cds that were sold in 2008.
around million

Explanation:

Step1: Find the slope

The slope \( m \) between two points \((x_1, y_1)=(1999, 940)\) and \((x_2, y_2)=(2002, 805)\) is calculated as \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{805 - 940}{2002 - 1999}=\frac{- 135}{3}=- 45\).

Step2: Find the equation of the line

Using the point - slope form \( y - y_1=m(x - x_1) \), with \((x_1, y_1)=(1999, 940)\) and \( m=-45 \), we have:
\( y - 940=-45(x - 1999) \)
\( y=-45x+45\times1999 + 940 \)
\( y=-45x+89955 + 940 \)
\( y=-45x + 90895 \)

Step3: Estimate the number of CDs sold in 2008

Substitute \( x = 2008 \) into the equation \( y=-45x + 90895 \):
\( y=-45\times2008+90895 \)
\( y=-90360 + 90895 \)
\( y = 535 \)

Answer:

535