Algebra - Semester

9. (05.06LC)

The table shows the air pressure in pounds per square inch at different altitudes in thousand feet:

\begin{tabular}{|r|c|c|c|c|c|c|c|c|c|}
\hline Altitude (thousand feet) & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 \\
\hline Air pressure (pounds per square inch) & 12.4 & 10.2 & 7 & 6.2 & 5.2 & 4.2 & 3.4 & 2.6 & 2.0 \\
\hline
\end{tabular}

Which scatter plot best represents the data in the table? (1 point)



Answer :

To solve this problem, we need to represent the given data in a scatter plot. Here are the detailed steps:

1. Understand the Table:
- The table consists of two rows. The first row represents the altitude in thousand feet: 5, 10, 15, 20, 25, 30, 35, 40, 45.
- The second row represents the corresponding air pressure in pounds per square inch: 12.4, 10.2, 7, 6.2, 5.2, 4.2, 3.4, 2.6, 20.

2. Create Data Points:
- We need to pair each altitude value with its corresponding air pressure value to create coordinate pairs or data points. The paired data points are:
(5, 12.4), (10, 10.2), (15, 7), (20, 6.2), (25, 5.2), (30, 4.2), (35, 3.4), (40, 2.6), (45, 20).

3. Identify the Pattern:
- Most of the air pressure values decrease as the altitude increases, with the exception of the last point (45, 20), which is an outlier. This suggests that the general trend is a decrease in air pressure with an increase in altitude.

4. Plot the Points on a Scatter Plot:
- Draw an x-axis (horizontal axis) for altitude and a y-axis (vertical axis) for air pressure.
- Mark the given altitude values (5, 10, 15, 20, 25, 30, 35, 40, 45) on the x-axis.
- Mark the given air pressure values (12.4, 10.2, 7, 6.2, 5.2, 4.2, 3.4, 2.6, 20) on the y-axis.
- Plot each of the nine data points on the graph. For example:
- The point (5, 12.4) would be plotted 5 units along the x-axis and 12.4 units up the y-axis.
- The point (10, 10.2) would be plotted 10 units along the x-axis and 10.2 units up the y-axis.
- Continue this for all points.

5. Verify the Representative Plot:
- After plotting, identify a scatter plot that closely matches the plotted data points, including the general descending trend with an outlying point at (45, 20).

By following these steps and utilizing the paired coordinates provided, you should be able to identify the scatter plot that correctly represents the data in the table.