Question

question 37 points 3

the flower shop in a grocery store sells flowers individually. the relationship between \\(x\\), the cost on 1 rose, and \\(y\\), the cost of 1 carnation, is represented by the matrix equation. \\(\

$$\begin{bmatrix} 3 & 2 \\\\ 2 & 5 \\end{bmatrix}$$

\

$$\begin{bmatrix} x \\\\ y \\end{bmatrix}$$

= \

$$\begin{bmatrix} 8 \\\\ 9 \\end{bmatrix}$$

\\) find the cost of buying 1 rose.

\\(\bigcirc\\) $2.00

\\(\bigcirc\\) $0.82

Explanation:

Convert the matrix equation to a system of linear equations

Using the Matrix Multiplication and System of Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Solve the system of equations for x

Using the Solving Matrix Equations knowledge point

$$
LATEXBLOCK1
$$

Identify the cost of 1 rose

Using the Solving Matrix Equations knowledge point

$$ x = 2.00 $$

Answer:

• (A) $2.00 (Correct answer)
• (B) $0.82