Question 57 Answer and Explanation _ACT April 2018 Form A09 Math Section

57. Valley High School and Mountain High School have decided that selected students will attend a daytime theatrical performance that costs $5 for each teacher and $3 for each student. One teacher and 10 students from Valley High will attend, and 2 teachers and 25 students from Mountain High will attend. Which of the following matrix products represents the ticket costs, in dollars, for each high school?

A. $\begin{aligned}\begin{bmatrix} 5 & 3 \end{bmatrix}\begin{bmatrix} 1 & 2 \\ 10 & 25 \end{bmatrix}\end{aligned}$

B. $\begin{aligned}\begin{bmatrix} 5 & 3 \end{bmatrix}\begin{bmatrix} 1 & 10 \\ 25 & 2 \end{bmatrix}\end{aligned}$

C. $\begin{aligned}\begin{bmatrix} 5 & 3 \end{bmatrix}\begin{bmatrix} 1 & 25 \\ 2 & 10 \end{bmatrix}\end{aligned}$

D. $\begin{aligned}\begin{bmatrix} 5 \\ 3 \end{bmatrix}\begin{bmatrix} 1 & 2 \\ 10 & 25 \end{bmatrix}\end{aligned}$

E. $\begin{aligned}\begin{bmatrix} 5 \\ 3 \end{bmatrix}\begin{bmatrix} 1 & 10 \\ 2 & 25 \end{bmatrix}\end{aligned}$

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation