Get the answers you've been searching for with IDNLearn.com. Join our Q&A platform to receive prompt and accurate responses from knowledgeable professionals in various fields.
Sagot :
To answer this question and plot a graph of count rate against time, follow these steps:
1. Analyze the data provided:
- Time (s): [0, 5, 10, 15, 20]
- Count rate (per minute): [590, 318, 172, 84, 50]
2. Prepare the graph:
- The x-axis will represent time in seconds.
- The y-axis will represent the count rate per minute.
3. Plot the points on the graph:
- (0, 590)
- (5, 318)
- (10, 172)
- (15, 84)
- (20, 50)
4. Connect the points with a line to represent the change in count rate over time.
5. Label the axes and add a title to the graph.
Let's go through detailed steps to manually create the graph:
### Step-by-Step Process:
1. Draw the Axes:
- Draw a vertical axis (y-axis) for the count rate.
- Draw a horizontal axis (x-axis) for time.
2. Label the Axes:
- Label the y-axis as "Count Rate (per minute)".
- Label the x-axis as "Time (s)".
3. Choose a Suitable Scale:
- For the x-axis: Divide the range 0 to 20 seconds into appropriate equal intervals, considering the data points at 0, 5, 10, 15, and 20 seconds.
- For the y-axis: Since the count rate ranges from 50 to 590, choose a scale that covers this range. For instance, you could use intervals of 50 or 100.
4. Plot the Data Points:
- Locate and plot the points (0, 590), (5, 318), (10, 172), (15, 84), (20, 50) on the graph using the scales you chose.
5. Draw the Graph:
- Connect the data points with straight lines. This may help in visualizing how the count rate decreases over time.
6. Title the Graph:
- Add a title to the graph, such as "Count Rate vs. Time".
### Below is the representation of the steps:
#### Table for reference:
[tex]\[ \begin{array}{c|c} \text{Time (s)} & \text{Count Rate (per minute)} \\ \hline 0 & 590 \\ 5 & 318 \\ 10 & 172 \\ 15 & 84 \\ 20 & 50 \\ \end{array} \][/tex]
#### Graph Representation (Using textual representation):
```
Count Rate (per minute)
|
|
|
| | (0, 590)
| | |
| 600 |------------------------------------------------------
| |
| |
| 500 |
| | | (5, 318)
| |---------------------------------------
| |
| |
| 400 |
| |
| |
| 300 |
| |
| | (10, 172)
| |-------------------
| |
| 200 |
|
| | (15, 84)
| |---------------------
| 100 |
| |
| |
| 0
| | (20, 50)
|--------------------------------------------------------------
Time (s)
0 5 10 15 20
```
Ensure to get accurate placements while plotting on graph paper for precise readings.
### Final Notes:
- Make use of graph paper for plotting the data points for better accuracy.
- Ensure the scales on both axes are marked correctly and consistently.
- Clearly label the axes and give your graph a descriptive title to make the data representation clear and meaningful.
1. Analyze the data provided:
- Time (s): [0, 5, 10, 15, 20]
- Count rate (per minute): [590, 318, 172, 84, 50]
2. Prepare the graph:
- The x-axis will represent time in seconds.
- The y-axis will represent the count rate per minute.
3. Plot the points on the graph:
- (0, 590)
- (5, 318)
- (10, 172)
- (15, 84)
- (20, 50)
4. Connect the points with a line to represent the change in count rate over time.
5. Label the axes and add a title to the graph.
Let's go through detailed steps to manually create the graph:
### Step-by-Step Process:
1. Draw the Axes:
- Draw a vertical axis (y-axis) for the count rate.
- Draw a horizontal axis (x-axis) for time.
2. Label the Axes:
- Label the y-axis as "Count Rate (per minute)".
- Label the x-axis as "Time (s)".
3. Choose a Suitable Scale:
- For the x-axis: Divide the range 0 to 20 seconds into appropriate equal intervals, considering the data points at 0, 5, 10, 15, and 20 seconds.
- For the y-axis: Since the count rate ranges from 50 to 590, choose a scale that covers this range. For instance, you could use intervals of 50 or 100.
4. Plot the Data Points:
- Locate and plot the points (0, 590), (5, 318), (10, 172), (15, 84), (20, 50) on the graph using the scales you chose.
5. Draw the Graph:
- Connect the data points with straight lines. This may help in visualizing how the count rate decreases over time.
6. Title the Graph:
- Add a title to the graph, such as "Count Rate vs. Time".
### Below is the representation of the steps:
#### Table for reference:
[tex]\[ \begin{array}{c|c} \text{Time (s)} & \text{Count Rate (per minute)} \\ \hline 0 & 590 \\ 5 & 318 \\ 10 & 172 \\ 15 & 84 \\ 20 & 50 \\ \end{array} \][/tex]
#### Graph Representation (Using textual representation):
```
Count Rate (per minute)
|
|
|
| | (0, 590)
| | |
| 600 |------------------------------------------------------
| |
| |
| 500 |
| | | (5, 318)
| |---------------------------------------
| |
| |
| 400 |
| |
| |
| 300 |
| |
| | (10, 172)
| |-------------------
| |
| 200 |
|
| | (15, 84)
| |---------------------
| 100 |
| |
| |
| 0
| | (20, 50)
|--------------------------------------------------------------
Time (s)
0 5 10 15 20
```
Ensure to get accurate placements while plotting on graph paper for precise readings.
### Final Notes:
- Make use of graph paper for plotting the data points for better accuracy.
- Ensure the scales on both axes are marked correctly and consistently.
- Clearly label the axes and give your graph a descriptive title to make the data representation clear and meaningful.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.