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 the number of games. How many points did Pedro average per game.?

Answer 1

To find out how many points Pedro averaged per game, we need to first rewrite the equation \(4y = 104x\) in terms of \(y\).

1. Start by dividing both sides of the equation by 4: \[ y = \frac{104x}{4} \]
2. Simplifying the right side: \[ y = 26x \]

From the equation \(y = 26x\), we can see that \(y\) (the total number of points scored across \(x\) games) is equal to 26 times the number of games played.

To find the average points per game, we can express the average points per game, \(A\), as: \[ A = \frac{y}{x} \] Substituting \(y = 26x\) into the average formula: \[ A = \frac{26x}{x} = 26 \]

Therefore, Pedro averaged 26 points per game.