Question

A gamer is observing her score, y, as she plays a video game. She currently has 1,800 points and is gaining 150 points for every minute, x, she plays.

Which of the following equations can be used to describe this linear relationship?

y = 150x + 1,800
y = 150x − 1,800
y = 1,800x + 150
y = 1,800x − 150
100 points + brainliest to answer fast and correct

Answer 1

Answer:

The equation that can be used to describe the linear relationship between the gamer's score, y, and the minutes played, x, is:

y = 150x + 1,800

I hope this helped answer your question.

If you could give me brainliest, it would help out a ton!

Step-by-step explanation:

In this equation, the coefficient of x, which is 150, represents the number of points gained per minute. Since the gamer is gaining 150 points for every minute played, this coefficient is correct.

The constant term in the equation, which is 1,800, represents the initial score of 1,800 points. This is the score the gamer had before starting to play the game.

By multiplying the number of minutes played, x, by 150 and then adding the initial score of 1,800, we can determine the total score, y, at any given time during the game.

For example, if the gamer has played for 10 minutes (x = 10), we can substitute this value into the equation:

y = 150(10) + 1,800

y = 1,500 + 1,800

y = 3,300

So, after playing for 10 minutes, the gamer's score would be 3,300 points.

Therefore, the correct equation that describes the linear relationship between the gamer's score, y, and the minutes played, x, is y = 150x + 1,800.

Answer 2

Answer: A) $y=150x+1,800$

Step-by-step explanation:

The given scenario describes a linear relationship where the gamer's score

(y) depends on the number of minutes played (x). The gamer is gaining 150 points for every minute played and starts with 1,800 points.

In a linear equation of the form $y=mx+b$:

$m$ represents the slope, which is the rate of change or the points gained per minute in this context.

$b$ represents the y-intercept, which is the initial value of the score when x is zero (in this case, the starting score).$y=150x+1,800$:

The slope (m) is 150, indicating that for every minute played, the gamer's score increases by 150 points.

The y-intercept (b) is 1,800, representing the initial score before any minutes are played.

Therefore, the correct equation $y=150x+1,800$ accurately represents the relationship between the gamer's score and the minutes played in this scenario.