The number of points that Pedro scored in the basketball game is represented by the equation 4y=104x

. In this equation, y
represents the total number of points and x
represents number of games. How many points did Pedro average per game

1 answer

To find out how many points Pedro averaged per game, we need to solve the equation \(4y = 104x\) for \(y\). This will give us the total number of points in terms of the number of games.

  1. Start with the equation: \[ 4y = 104x \]

  2. Divide both sides by 4 to solve for \(y\): \[ y = \frac{104x}{4} \]

  3. Simplify the right side: \[ y = 26x \]

This means that the total number of points \(y\) is equal to 26 times the number of games \(x\).

To find the average number of points per game, we need to divide the total points by the number of games: \[ \text{Average Points per Game} = \frac{y}{x} \]

Substituting \(y = 26x\): \[ \text{Average Points per Game} = \frac{26x}{x} \]

Assuming \(x \neq 0\): \[ \text{Average Points per Game} = 26 \]

Thus, Pedro averaged 26 points per game.