Part 2: Plotting Points

Line Graph

Create a single line graph using the following table:

- Time goes on the [tex]$x$[/tex] axis.
- Label every 2nd line with the day of the week.
- Rainfall goes on the [tex]$y$[/tex] axis.
- Label every line starting with 2, then 4, 6, 8, etc.

Make sure to do the following:
- Label the [tex][tex]$x$[/tex][/tex] and [tex]$y$[/tex] axes.
- Create a title.

\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
Time (days) & Sun & Mon & Tue & Wed & Thu & Fri & Sat \\
\hline
Rainfall [tex]$(cm)$[/tex] & 0 & 10 & 5 & 0 & 25 & 20 & 10 \\
\hline
\end{tabular}



Answer :

Let's break down the task of creating a line graph step-by-step.

### Step-by-Step Solution:

1. Identify the Data:
- Time (days): Sun, Mon, Tue, Wed, Thu, Fri, Sat
- Rainfall (cm): 0, 10, 5, 0, 25, 20, 10

2. Set Up the Axes:
- The x-axis represents Time (days).
- The y-axis represents Rainfall (cm).

3. Label the Axes:
- x-axis label: "Time (days)"
- y-axis label: "Rainfall (cm)"

4. Determine the Scale:
- For the x-axis, use the days of the week.
- For the y-axis, label every line starting with 2, then 4, 6, 8, and so on.

5. Plot the Points:
- Plot the coordinates for each day:
- (Sun, 0)
- (Mon, 10)
- (Tue, 5)
- (Wed, 0)
- (Thu, 25)
- (Fri, 20)
- (Sat, 10)

6. Draw the Graph:
- Connect the points with a line to create a line graph.

7. Add the Grid Lines:
- Ensure each 'day of the week' line on the x-axis and each 'rainfall' line on the y-axis are shown.

8. Create a Title:
- Title: "Rainfall over a Week"

### Visual Representation:

Below, I will describe how to sketch the line graph manually (or if you prefer using computational tools, you can adapt these steps to them).

1. Draw the Axes:
- Draw a horizontal line (x-axis) and a vertical line (y-axis) that intersect at the bottom-left corner.

2. Label the x-axis:
- Evenly space 7 points along the x-axis and label them: "Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat".

3. Label the y-axis:
- From the bottom to the top, label the y-axis at every 2 cm increment: 0, 2, 4, ..., up to the maximum rainfall value which is 25 cm (you can go a bit beyond, e.g., up to 28).

4. Plot the Points:
- Find the position on the x-axis for each day and plot the corresponding rainfall value:
- Sun: (Sun, 0) -> at the intersection of "Sun" on x-axis and 0 on y-axis
- Mon: (Mon, 10) -> at the intersection of "Mon" on x-axis and 10 on y-axis
- Tue: (Tue, 5) -> at the intersection of "Tue" on x-axis and 5 on y-axis
- Wed: (Wed, 0) -> at the intersection of "Wed" on x-axis and 0 on y-axis
- Thu: (Thu, 25) -> at the intersection of "Thu" on x-axis and 25 on y-axis
- Fri: (Fri, 20) -> at the intersection of "Fri" on x-axis and 20 on y-axis
- Sat: (Sat, 10) -> at the intersection of "Sat" on x-axis and 10 on y-axis

5. Connect the Points:
- Draw lines connecting each adjacent point from Sun to Sat.

6. Add the Title:
- At the top center of the graph, write the title "Rainfall over a Week".

7. Add Grid Lines:
- Lightly draw horizontal grid lines to make it easier to read the days and rainfall levels.

### Summary:

By following these steps, you can effectively create a line graph to represent the given data of rainfall over a week. The graph will clearly show the changes in rainfall from day to day, with all axes appropriately labeled and the graph titled.