Question

Miguel and Lauren are testing two versions of a new video game. in Miguel's version he receives 25 points at the start of the game, plus one point for each level he completes. In Laurens version she receives 20 points at the start of the game, and 2 points for each level she completes. at what level will they have the same amount of points ?

Answer 1

Answer: 5 levels

Explanation:

We will set up a system of equations and solve. Let x be the number of levels beaten, and let y be the number of total points.

Miguel's version:

y = 1x + 25

Lauren's version:

y = 2x + 20

Now, we will graph both equations. The x-coordinate of the point-of-intersection is the answer to our question.

See attached.

The lines intersect at (5, 30) meaning they will have the same number of points after 5 levels, with 30 points.