Question

The number of points that Pedro scored in the basketball game is represented by the equation 4y=104x
4
y
=
104
x
. In this equation, y
y
represents the total number of points and x
x
represents number of games. How many points did Pedro average per game?

1 answer

To find the average number of points Pedro scored per game, we need to solve the equation \(4y = 104x\) for the average points per game (which is \(y/x\)).

  1. First, we can rewrite the equation:

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

  1. Simplify the right side:

\[ y = 26x \]

  1. To find the average points per game, we need \(y/x\):

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

Thus, Pedro averaged 26 points per game.