Question

1. plot a graph that represents the pressure and temperature values in the following table. temperature should be assigned to the x-axis and pressure to the y-axis. (note: °f stands for degrees fahrenheit and psi stands for pounds per square inch.)

\

$$\begin{tabular}{|l|c|c|c|c|c|} \\hline measurement & a & b & c & d & e \\\\ \\hline temperature & 0°f & 50°f & 100°f & 150°f & 200°f \\\\ \\hline pressure & 0 psi & 20 psi & 40 psi & 60 psi & 80 psi \\\\ \\hline \\end{tabular}$$

Explanation:

Identify the variables and axes

The problem states that temperature should be assigned to the \(x\)-axis and pressure to the \(y\)-axis.

• \(x\)-axis: Temperature (\(^\circ\text{F}\))
• \(y\)-axis: Pressure (\(\text{PSI}\))

Determine the ordered pairs

Using the Ordered Pairs and Data Point Plotting knowledge points

$$
LATEXBLOCK0
$$

Determine the linear relationship

Using the Graphing Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

To plot the graph representing the pressure and temperature values:

1. Identify the Axes:

• \(x\)-axis: Temperature (\(^\circ\text{F}\)) with a scale from \(0\) to \(200^\circ\text{F}\).
• \(y\)-axis: Pressure (\(\text{PSI}\)) with a scale from \(0\) to \(80\text{ PSI}\).

1. Plot the Data Points \((x, y)\):

• A: \((0, 0)\)
• B: \((50, 20)\)
• C: \((100, 40)\)
• D: \((150, 60)\)
• E: \((200, 80)\)

1. Draw the Line:

• Connect the plotted points with a straight line starting at the origin \((0,0)\) and passing through \((200, 80)\), representing the linear relationship \(y = 0.4x\).