Question

the table above basketball averages per game. the season is 22 games long. which of the matrices a - d show approximate season totals?
a
$\

$$\begin{bmatrix}0.65 & 0.10 & 0.21\\\\0.68 & 0.10 & 0.36\\\\0.72 & 0.10 & 0.05\\end{bmatrix}$$

$
b
$\

$$\begin{bmatrix}103.1 & 11.55 & 22.25 & 25.85\\\\424.4 & 15.4 & 46.2 & 172.8\\\\349.8 & 71.8 & 39.6 & 26.4\\end{bmatrix}$$

$
c
$\

$$\begin{bmatrix}26.2 & 24.1 & 26.1 & 26.7\\\\41.3 & 22.7 & 21.1 & 29.9\\\\879.25 & 423.8 & 28.23 & 2\\end{bmatrix}$$

$
d
$\

$$\begin{bmatrix}312.4 & 46.2 & 00.2 & 103.4\\\\424.6 & 15.4 & 46.2 & 172.8\\\\349.8 & 74.8 & 39.6 & 20.4\\end{bmatrix}$$

$

Explanation:

Step1: Calculate total points for each player

For Jimmy: \(14.2\times22 = 312.4\)
For Tommy: \(10.3\times22=226.6\)
For John: \(15.9\times22 = 349.8\)
Total points \(=312.4 + 226.6+349.8=888.8\)

For Steals: Jimmy \(2.1\times22 = 46.2\), Tommy \(0.7\times22 = 15.4\), John \(3.4\times22=74.8\)
Total steals \(=46.2 + 15.4+74.8 = 136.4\)

For Turnovers: Jimmy \(4.1\times22=90.2\), Tommy \(2.1\times22 = 46.2\), John \(1.8\times22=39.6\)
Total turnovers \(=90.2+46.2 + 39.6=176\)

For Rebounds: Jimmy \(4.7\times22 = 103.4\), Tommy \(7.9\times22=173.8\), John \(1.2\times22 = 26.4\)
Total rebounds \(=103.4+173.8+26.4=303.6\)

Step2: Check each matrix

Matrix \(D=

$$\begin{bmatrix}312.4&46.2&90.2&103.4\\424.6&15.4&46.2&173.8\\349.8&74.8&39.6&26.4\end{bmatrix}$$

\)

Answer:

D