Question 3 / 3

The number of points that Yuki scored in a basketball game is represented by the equation 5y = 110x. In this equation, y represents the total number of points and x represents number of games. How many points did Yuki average per game?

A.
550

B.
22

C.
20

D.
500

1 answer

To find the average number of points Yuki scored per game, we need to solve the equation for \( y \) and then determine the average points per game \( \frac{y}{x} \).

Starting with the equation:

\[ 5y = 110x \]

we can solve for \( y \) by dividing both sides by 5:

\[ y = \frac{110x}{5} \]

This simplifies to:

\[ y = 22x \]

Now, to find the average points per game, we can use the formulation \( \frac{y}{x} \):

\[ \text{Average points per game} = \frac{y}{x} = \frac{22x}{x} = 22 \]

Thus, Yuki averaged 22 points per game.

So the correct answer is:

B. 22