Question 43 Answer and Explanation _ACT December 2019 Form C03 Math Section

Use the following information to answer questions 42-44.

A 500-square-mile national park in Kenya has large and small protected animals. The number of large protected animals at the beginning of 2014 is given in the table below.

At the beginning of 2014, the number of all protected animals in the park was 10,000. Zoologists predict that for each year from 2015 to 2019, the total number of protected animals in the park at the beginning of the year will be 2% more than the number of protected animals in the park at the beginning of the previous year.

43. In this park, the average number of gallons of water consumed per day by each elephant, lion, and giraffe is 50, 5 and 10, respectively . Which of the following matrix products yields the average total number of gallons of water consumed per day by all the elephants, lions, and giraffes in the park?

A. $\left[{600\,\,200\,\,800}\right]$ $\begin{aligned}\begin{bmatrix} 50 \\ 5 \\ 10 \end{bmatrix}\end{aligned}$

B. $\left[{600\,\,800\,\,200}\right]$ $\begin{aligned}\begin{bmatrix} 50 \\ 5 \\ 10 \end{bmatrix}\end{aligned}$

C. $\begin{aligned}\begin{bmatrix} 600 \\ 200 \\ 800 \end{bmatrix}\begin{bmatrix} 50 & 5 & 10 \end{bmatrix}\end{aligned}$

D. $\begin{aligned}\begin{bmatrix} 600 \\ 800 \\ 200 \end{bmatrix}\begin{bmatrix} .50 & 5 & 10 \end{bmatrix}\end{aligned}$

E. $\begin{aligned}\begin{bmatrix} 600 \\ 800 \\ 200 \end{bmatrix}\begin{bmatrix} 50 \\ 5 \\ 10 \end{bmatrix}\end{aligned}$

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

According to the matrix multiplication rule, choose A