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The scatterplot shows the time spent playing a video game and the number of points scored by several students.

Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?

A.1,200

B.920

C.1,060

D.1,300

To solve this problem, let's analyze the scatterplot of points scored in relation to the time spent playing the video game.

### Key Observations:
- The scatterplot shows an increasing trend, meaning the longer the time spent playing, the higher the score.
- The data points range from 0 to around 30 minutes, with the points scored going from about 150 to just over 900.
- To predict the number of points scored at 45 minutes (which is beyond the observed data), we can extend the observed trend linearly.

### Estimation:
Looking at the current trend, the number of points increases fairly consistently. Around the 30-minute mark, the score is approximately 900-950 points. By following the trend and predicting for 45 minutes, we can estimate the number of points to be around 1,200. This aligns with the upward pattern of the data.

### Answer:
The best prediction for the number of points scored by a student who spends 45 minutes playing the game is **1,200 points**.

Thus, the correct answer is:
**A. 1,200**.

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Would you like more details or have any questions?

Here are 5 follow-up questions to extend the understanding of the scatterplot:
1. How can we formally calculate the line of best fit from the scatterplot?
2. How would a quadratic or non-linear model affect the prediction of points scored?
3. What is the rate of increase in points per minute of gameplay based on the observed data?
4. How accurate would predictions be beyond 45 minutes, and what factors could influence the accuracy?
5. How might different players’ skill levels create variability in a scatterplot like this?

**Tip:** Extrapolation beyond the known data (like predicting for 45 minutes) assumes the same trend continues, but it may not always hold for very far values.

The scatterplot shows the time spent playing a video game and the number of points scored by several students. Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game? A. 1,200, B. 920, C. 1,060, D. 1,300

This problem explores the relationship between time spent playing a video game and points scored. By analyzing the scatterplot data, students learn to predict future outcomes based on a linear trend. Ideal for students in Grades 6-8.

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