The number of points that Pedro scored in the basketball game is represented by the equation 4y=104×. 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 start with the provided equation:

\[ 4y = 104x \]

First, we can solve for \(y\) by dividing both sides of the equation by 4:

\[ y = \frac{104x}{4} \]

This simplifies to:

\[ y = 26x \]

Now, \(y\) represents the total number of points Pedro scored, and \(x\) represents the number of games he played. To find the average points per game (\(A\)), we divide the total points by the number of games:

\[ A = \frac{y}{x} \]

Substituting our expression for \(y\):

\[ A = \frac{26x}{x} \]

Assuming \(x \neq 0\) (as he played a game), this simplifies to:

\[ A = 26 \]

Therefore, Pedro averaged 26 points per game.