Hector recorded the amount of coffee he drank (in milliliters) and the duration of his drive (in minutes) over five days this week.

Plot the data in a scatter plot.

[tex]\[
\begin{tabular}{|l|r|r|r|r|r|}
\hline
\text{Coffee (mL)} & 100 & 200 & 150 & 125 & 225 \\
\hline
\text{Duration (min)} & 18 & 14 & 15 & 20 & 12 \\
\hline
\end{tabular}
\][/tex]



Answer :

Certainly, let's create a scatter plot step-by-step using the data Hector collected.

## Steps to Create a Scatter Plot

1. Understand the Data:
- The x-axis will represent the amount of coffee Hector drank in milliliters.
- The y-axis will represent the duration of his drive in minutes.

The data points are:
- (100 mL, 18 min)
- (200 mL, 14 min)
- (150 mL, 15 min)
- (125 mL, 20 min)
- (225 mL, 12 min)

2. Draw the Axes:
- Draw a horizontal line for the x-axis and a vertical line for the y-axis.
- Label the x-axis as "Coffee (mL)".
- Label the y-axis as "Duration (min)".

3. Determine the Scale:
- For the x-axis: Choose a scale that comfortably includes all coffee values (100 to 225 mL). You might use increments of 25 or 50 mL.
- For the y-axis: Choose a scale that includes all duration values (12 to 20 minutes). You might use increments of 2 or 5 minutes.

4. Plot the Data Points:
- For each pair of (coffee, duration), place a dot on the graph corresponding to the values.

5. Title the Graph:
- Add a title such as "Coffee Consumption vs. Duration of Drive".

### Example Data Plotted on Scatter Plot

Below shows how to plot each data point:

- For (100 mL, 18 min): Find 100 on the x-axis and 18 on the y-axis. Mark the point where they intersect.
- For (200 mL, 14 min): Find 200 on the x-axis and 14 on the y-axis. Mark the point where they intersect.
- For (150 mL, 15 min): Find 150 on the x-axis and 15 on the y-axis. Mark the point where they intersect.
- For (125 mL, 20 min): Find 125 on the x-axis and 20 on the y-axis. Mark the point where they intersect.
- For (225 mL, 12 min): Find 225 on the x-axis and 12 on the y-axis. Mark the point where they intersect.

### Scatter Plot Example

Here's an illustration of how the scatter plot will look like:

```
|
20 |
|
18 |

|
16 |
|
14 |
|
12 |

______________________________
100 125 150 200 225
Coffee (mL)
```

### Summary

You can now visualize Hector's coffee consumption and its relation to his drive duration. This scatter plot can potentially help in analyzing any patterns or trends between the amount of coffee consumed and the duration of his drives.

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