Question

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 point)
points per game

Answer 1

To find the average number of points Pedro scored per game, we need to solve the given equation for \( y \) (the total number of points) in terms of \( x \) (the number of games).

The equation is:

\[
4y = 104x
\]

To find \( y \), we can divide both sides of the equation by 4:

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

Calculating the right side:

\[
y = 26x
\]

Now, to find the average points per game, we can consider how many points he scores on average for each game. Since \( y \) is the total points scored and \( x \) is the number of games, the average points per game (APG) can be represented as:

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

Thus, Pedro averaged **26 points per game**.