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SAT® Subject Test in Math 1 & 2

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Difficult

Applications with Matrices

SATSTM-UXTJE9

On day $1$ of Sally's sales trip, she sold $40$ books, $25$ cameras, and $30$ shirts. On day $2$ she sold $20$ books, $30$ cameras, and $15$ shirts. On day $3$ she sold $10$ books, $15$ cameras, and $40$ shirts. If each book cost $\$12$, each camera cost $\$60$, and each shirt cost $\$10$, then which one of the following matrix representations give the total amount of sales from the three items over the three days?

A

$\left[\begin{matrix}40&25&30\\\ 20&30&15\\\ 10&15&40\end{matrix}\right]\left[\begin{matrix}12&60&10\end{matrix}\right]$

B

$\left[\begin{matrix}12\\\ 60\\\ 10\end{matrix}\right]\left[\begin{matrix}40&25&30\\\ 20&30&15\\\ 10&15&40\end{matrix}\right]$

C

$\left[\begin{matrix}40&25&30\\\ 20&30&15\\\ 10&15&40\end{matrix}\right]\left[\begin{matrix}12\\\ 60\\\ 10\end{matrix}\right]$

D

$\left[\begin{matrix}12&60&10\end{matrix}\right]\left[\begin{matrix}40&25&30\\\ 20&30&15\\\ 10&15&40\end{matrix}\right]$

E

$\text{Not Possible}$