Question
Oscar bought a new video game, Galaxy Star Cruisers, to play in his spare time. This scatter plot shows Oscar's high score each day he played. It also shows the line of best fit. The equation for the line of best fit is y=30x+7. According to the equation, which of these statements is true?
Answers
GPT-4o mini
The equation of the line of best fit for Oscar's high scores in the video game Galaxy Star Cruisers is given as \( y = 30x + 7 \). In this equation:
- \( y \) represents Oscar's high score,
- \( x \) represents the number of days he has played,
- The slope of the line is 30, which indicates the average increase in high score for each additional day played,
- The y-intercept is 7, which indicates the predicted high score on day 0 (if he hadn’t played at all).
Based on this information, we can derive the following truths from the equation:
1. **Oscar's high score increases by 30 points for each day he plays**: This is due to the slope of 30, meaning that on average his high score improves significantly as he continues to play.
2. **On the day he starts playing (Day 0), his initial score is predicted to be 7 points**: This is reflected by the y-intercept of the equation.
Without specific statements to evaluate, the general truths we can assert from the line of best fit based on the equation are related to these interpretations of slope and intercept. Would you like to provide specific statements to assess their truthfulness?
- \( y \) represents Oscar's high score,
- \( x \) represents the number of days he has played,
- The slope of the line is 30, which indicates the average increase in high score for each additional day played,
- The y-intercept is 7, which indicates the predicted high score on day 0 (if he hadn’t played at all).
Based on this information, we can derive the following truths from the equation:
1. **Oscar's high score increases by 30 points for each day he plays**: This is due to the slope of 30, meaning that on average his high score improves significantly as he continues to play.
2. **On the day he starts playing (Day 0), his initial score is predicted to be 7 points**: This is reflected by the y-intercept of the equation.
Without specific statements to evaluate, the general truths we can assert from the line of best fit based on the equation are related to these interpretations of slope and intercept. Would you like to provide specific statements to assess their truthfulness?