The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5,
16)1) and (20.0, 18.3). $$\begin{array} { c | c }
\text { List Price } & \text { Dealer Invoice Price } \
\hline 16.5 & 16.1 \
17.6 & 17.0 \
20.7 & 18.2 \
23.1 & 19.3 \
20.0 & 18.3 \
24.6 & 21.0
\end{array}$$

A) $y = 1.59 x - 9.11$
B) $y = 0.629 x + 6.38$
C) $y = 1.59 x - 10.2$
D) $y = 0.629 x + 5.73$

Question

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5,
16)1) and (20.0, 18.3). $$\begin{array} { c | c } 
\text { List Price } & \text { Dealer Invoice Price } \
\hline 16.5 & 16.1 \
17.6 & 17.0 \
20.7 & 18.2 \
23.1 & 19.3 \
20.0 & 18.3 \
24.6 & 21.0
\end{array}$$

A) $y = 1.59 x - 9.11$
B) $y = 0.629 x + 6.38$
C) $y = 1.59 x - 10.2$
D) $y = 0.629 x + 5.73$

Quizplus · Accepted Answer

To find the linear equation, we use the two points (16.5, 16.1) and (20.0, 18.3). The slope $m$ is calculated as $\frac{18.3 - 16.1}{20.0 - 16.5} = \frac{2.2}{3.5} = 0.629$. Using one of the points to solve for $b$ in $y = mx + b$, $16.1 = 0.629(16.5) + b$, we find $b = 5.73$. Therefore, the equation is $y = 0.629x + 5.73$.

The Following Data Show the List Price, X, in Thousands