Question

a basketball player averages 13.6 points per game. use this rate to find the value of x, the number of points scored in 7 games.

\

$$\begin{tabular}{|c|c|c|c|c|} \\hline number of points & 13.6 & 40.8 & 81.6 & x \\\\ \\hline number of games & 1 & 3 & 6 & 7 \\\\ \\hline \\end{tabular}$$

x = points

Explanation:

⚡ Using what you learned: Unit Rate

Step 1: Identify the unit rate

The table shows that the number of points scored in \(1\) game is \(13.6\). This is our unit rate:

$$ \text{Unit Rate} = 13.6 \text{ points per game} $$

Step 2: Calculate the value of \(x\)

To find the total number of points \(x\) scored in \(7\) games, multiply the unit rate by the number of games:

$$ x = 13.6 \times 7 $$

$$ x = 95.2 $$

Answer:

\(x = 95.2\) points