Let's address the provided information step by step, focusing on understanding how to correctly interpret and use it to graph the given data.
Given:
We have a table that shows the cumulative number of minutes Alice practices clarinet over several weeks. The data points provided are:
[tex]\[
\begin{array}{|c|c|}
\hline \text{Weeks} & \text{Minutes} \\
\hline 2 & 300 \\
\hline 3 & 450 \\
\hline 4 & 600 \\
\hline 5 & 750 \\
\hline 6 & 900 \\
\hline 7 & 1,050 \\
\hline 8 & 1,200 \\
\hline
\end{array}
\][/tex]
To graph this data on a coordinate plane, let's identify the pairs of points that we will plot. Each pair consists of the number of weeks and the corresponding cumulative minutes:
1. (2 weeks, 300 minutes)
2. (3 weeks, 450 minutes)
3. (4 weeks, 600 minutes)
4. (5 weeks, 750 minutes)
5. (6 weeks, 900 minutes)
6. (7 weeks, 1050 minutes)
7. (8 weeks, 1200 minutes)
Next, we will plot these points on a coordinate plane, where the x-axis represents the number of weeks and the y-axis represents the cumulative minutes of practice. Here’s what you need to do:
1. Label the axes: Label the x-axis as "Weeks" and the y-axis as "Minutes".
2. Determine the scale: Choose an appropriate scale for both axes so that all points can be easily plotted:
- For the x-axis, you can use intervals of 1 week (e.g., 1, 2, 3, ..., 8).
- For the y-axis, you can use intervals of 150 minutes (e.g., 0, 150, 300, 450, ..., 1200).
3. Plot the points: Place a dot on the coordinate plane for each pair of data points.
To summarize, your graph should include:
- The x-axis labeled "Weeks" with appropriate intervals (e.g., intervals of 1).
- The y-axis labeled "Minutes" with appropriate intervals (e.g., intervals of 150).
- Seven points plotted: (2, 300), (3, 450), (4, 600), (5, 750), (6, 900), (7, 1050), and (8, 1200).
When you connect the dots, you will observe a linear progression indicating that Alice’s practice minutes increase uniformly each week. This helps us understand her consistent practice routine.
