Homework Help: Questions and Answers: Jack tracked the average amount of time he and his friend spent playing video games each day He plotted the average for each day and added a best-fit line. Using the best-fit line, which of the following is TRUE?
a) They will likely spend about 64 minutes playing video games on Day 8.
b) They spent 50 minutes playing video games on Day 6.
Answer
Let’s solve the problem step by step using the graph shown in the image.
Analyzing the graph
- The graph shows the amount of time spent playing video games (y-axis) over days (x-axis).
- The line represents a best-fit line based on the points plotted on the graph.
X- and Y-axes
- The x-axis (horizontal) represents the number of days, ranging from 0 to 8.
- The y-axis (vertical) represents the time spent playing video games in minutes, ranging from 0 to 70.
Best-fit line interpretation: The best-fit line is a straight line that approximates the trend of the points. It helps make predictions based on the data points.
Given options: Step by Step Answering
a) They likely spent about 40 minutes playing video games before they started tracking (Day 0)
- At Day 0, the best-fit line appears to cross around 30 minutes, not 40 minutes.
- So, this option is incorrect.
b) They spent 50 minutes playing video games on Day 6.
- Looking at the graph at Day 6, the best-fit line is very close to the 50-minute mark.
- Therefore, this option is correct.
Final Answer
Based on the above analysis, the correct answer is
b) They spent 50 minutes playing video games on Day 6 according to the best-fit line
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