Solve the Problem $N _ { 1 }$ Represents the Number of City and Highway Miles Driven for Gal/mi)

Multiple Choice

Solve the problem.
-Matrix G represents the gas mileage (in gal/mi) for city and highway driving for four models of car. Matrix $N _ { 1 }$ represents the number of city and highway miles driven for one trip. Matrix $N _ { 3 }$ represents The number of city and highway miles driven for three trips. $\quad$$\text { City}$$\quad$ $\text {Highway }$
$G=\left[\begin{array}{cc} \frac{1}{23} & \frac{1}{30} \\\\\frac{1}{24} & \frac{1}{37} \\\\\frac{1}{24} & \frac{1}{30} \\\\\frac{1}{25} & \frac{1}{31}\end{array}\right] \text { Car } 1 \text { automatic } 1 \text { manual }$
$N _ { 1 } = \left[ \begin{array} { l } 110 \\ 260 \end{array} \right] \begin{array} { l } \text { Number of city miles } \\ \text { Number of highway miles } \end{array}$


a. Find the product $G N _ { 1 }$ and interpret its meaning. Round each entry to 1 decimal place.
b. Find the product $G N _ { 3 }$ and interpret its meaning. Round each entry to 1 decimal place. This matrix represents the number of gallons of gasoline used for each model of car for each of the three
Trips.

A) a.
$G N_{1}=\left[\begin{array}{l}13.4 \\ 11.6 \\ 13.3 \\ 12.8\end{array}\right]$


This matrix represents the number of gallons of gasoline used for each model of car for 110 mi driven
In the city and 260 mi driven on the highway.
$$\text { b. } G N _ { 3 } = \left[ \begin{array} { l l l } 12.3 & 16.9 & 13.4 \\10.3 & 14.5 & 11.6 \\12.2 & 16.7 & 13.3 \\11.8 & 16.1 & 12.8\end{array} \right] \text {. }$$
B) a. $G N_{1}=\left[\begin{array}{l}15.0 \\13.8 \\14.5 \\13.9\end{array}\right]$
This matrix represents the number of gallons of gasoline used for each model of car for 260 mi driven
In the city and 110 mi driven on the highway. b.
$G N _ { 3 } = \left[ \begin{array} { c c c } 13.4 & 16.9 & 12.3 \\ 11.6 & 14.5 & 10.3 \\ 13.3 & 16.7 & 12.2 \\ 12.8 & 16.1 & 11.8 \end{array} \right]$ This matrix represents the number of gallons of gasoline used for each model of car for each of the three
Trips.
C) a. $G N_{1}=\left[\begin{array}{l}13.4 \\11.6 \\13.3 \\12.8\end{array}\right]$ This matrix represents the number of gallons of gasoline used for each model of car for 110 mi driven
In the city and 260 mi driven on the highway. $$\text { b. } G N _ { 3 } = \left[ \begin{array} { l l l } 16.9 & 13.4 & 12.3 \\14.5 & 11.6 & 10.3 \\16.7 & 13.3 & 12.2 \\16.1 & 12.8 & 11.8\end{array} \right]$$ This matrix represents the number of gallons of gasoline used for each model of car for each of the three
Trips.
D) a.
$G N _ { 1 } = \left[ \begin{array} { l } 13.4 \\ 11.6 \\ 13.3 \\ 12.8 \end{array} \right]$ This matrix represents the number of gallons of gasoline used for each model of car for 110 mi driven
In the city and 260 mi driven on the highway. $$\text { b. } G N _ { 3 } = \left[ \begin{array} { l l l } 13.4 & 16.9 & 12.3 \\11.6 & 14.5 & 10.3 \\13.3 & 16.7 & 12.2 \\12.8 & 16.1 & 11.8\end{array} \right] \text {. }$$ This matrix represents the number of gallons of gasoline used for each model of car for each of the three
Trips.