Question

jake has a new video game it takes them five hours of playing the game to master level one after so much time they understand the game better it only takes them three hours of playing the game to master level two is the number of hours played and the game level proportional

Answer 1

The number of hours played and the game level are proportional. As Jake plays the game more, the time it takes for him to reach a higher level decreases. This is an example of direct variation.

Step-by-step explanation:

The number of hours played and the game level are proportional.

In this scenario, we can see that as Jake plays the game more, the time it takes for him to reach a higher level decreases. This is an example of direct variation.

Let's consider the number of hours played as x and the game level as y. Based on the given information, we can write an equation to represent the relationship between x and y:

y = kx

where k is a constant of proportionality. Since it takes Jake 5 hours to master level one and 3 hours to master level two:

1 = 5k

2 = 3k

Solving these equations, we find that k = 1/5.

Therefore, the equation that represents the relationship between the number of hours played and the game level is y = (1/5)x.