On the provided axes, label pressure on the horizontal axis from [tex][tex]$0 \, \text{mb}$[/tex][/tex] to [tex][tex]$760 \, \text{mb}$[/tex][/tex] and volume on the vertical axis from [tex][tex]$0$[/tex][/tex] to [tex][tex]$1 \, \text{mL}$[/tex][/tex]. Assign values to axis divisions in such a way that you occupy almost all the space on both axes. Now locate and label the points:

[tex]\[
(90, 0.9), \, (100, 0.8), \, (400, 0.2), \, (600, 0.15), \, (760, 0.1)
\][/tex]



Answer :

Let's go through the process of labeling the axes and plotting the points step-by-step.

1. Labeling the Axes:

- On the horizontal axis (x-axis), represent pressure in millibars (mb) ranging from 0 mb to 760 mb.
- On the vertical axis (y-axis), represent volume in milliliters (mL) ranging from 0 mL to 1 mL.

2. Dividing the Axes:

- For the pressure axis (0 mb to 760 mb), you might want to use divisions that spread across the axis evenly. For example, you could use increments of 100 mb. The main points to label could be:
0, 100, 200, 300, 400, 500, 600, 700, 760 mb.

- For the volume axis (0 to 1 mL), you could use increments of 0.1 mL to match the given data points. The main points to label could be:
0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0 mL.

3. Locating and Labeling the Points:

You need to plot the following points:
- (90, 0.9)
- (100, 0.8)
- (400, 0.2)
- (600, 0.15)
- (760, 0.1)

Let's break this down step-by-step.

- Point (90, 0.9):
- This point is slightly to the left of the 100 mb mark and near the top (just below the 1.0 mL mark on the volume axis).
- Point (100, 0.8):
- This point is directly on the 100 mb mark and at 0.8 mL on the volume axis.
- Point (400, 0.2):
- This point is on the 400 mb mark and at 0.2 mL on the volume axis.
- Point (600, 0.15):
- This point is on the 600 mb mark and slightly below the 0.2 mL mark (at 0.15 mL).
- Point (760, 0.1):
- This point is at the maximum pressure value (760 mb) and at 0.1 mL on the volume axis.

4. Drawing the Graph with Points:

Here is a simple ASCII representation of how it might look:

```
Volume (mL)
1.0 |
0.9 |
0.8 |

0.7 |
0.6 |
0.5 |
0.4 |
0.3 |
0.2 |
0.1 |

0.0 +---------------------------------------------------------------------
0 100 200 300 400 500 600 700 760 Pressure (mb)
```

In summary, we labeled each axis with an appropriate scale, located the requested points accordingly, and provided a suitable division in the axes to ensure the labels are easy to understand and spread out evenly across the chart.