Question

Every day after school, Farid and his sister Adriana play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y. Write an equation for the relationship between x and y. Simplify any fractions.

Answer 1

A proportional relationship between the number of goblins defeated, x, and the power points earned, y, in the game 'Wizarding Legends' can be represented by the linear equation y = mx, where m is the constant of proportionality representing points per goblin.

Step-by-step explanation:

The relationship between the number of goblins defeated, x, and the number of power points earned, y, in the video game Wizarding Legends is described as proportional. This means that for every goblin Farid and Adriana defeat, they earn a consistent number of power points. This type of relationship can be expressed as a linear equation of the form y = mx, where m represents the number of power points earned per goblin defeated.

Since the question doesn't provide the specific number of points per goblin, we'll represent it as m.

There's no mention of a starting bonus or a flat number of points given, so the y-intercept (b in the general linear form y = mx + b) is zero.

Thus, the simplified equation for their game score is y = mx, with the fraction simplified if m is given as a fraction.