Final answer:
Graphing lines involves inputting the equation into a graphing calculator, pressing the standard graph zoom setting, labeling the axis with the appropriate variables and units, setting an appropriate scale, and plotting data points following the trend given.
Step-by-step explanation:
To graph each line mentioned in the various contexts of the student's questions, one would follow these general steps:
- Input the Equation: For the best-fit line, access the graphing function on your calculator by pressing the Y= key and input the equation provided (-173.5 + 4.83X) into Y1.
- Graphing the Line: After inputting the equation, graph it by pressing ZOOM followed by 9, which is typically the standard zoom setting for a graphing calculator to display the entered graph.
- Labeling on the Graph: For a graph showing perceived frequency or velocity vs. time, clearly label the intercepts, maximums, and minimums if any, and ensure each axis is labeled with the variable's name and units (e.g., Time (min) or Distance (km)).
- Determine the Scale: Choose an appropriate scale for the axes. For instance, if time is in increments of 10 minutes, you could number the x-axis from 0 to 70 minutes with tick marks every 10 minutes. Similarly, select a y-axis scale that encompasses all data points.
- Plotting Data Points: When provided with specific data points, plot them accurately on the graph with frequency on the vertical axis and ensure the trend is correctly represented (e.g., downward and to the right for decreasing frequency).
In summary, each graph needs to be labeled with appropriate values and units, with axes properly marked, and data points represented accurately. When asked to graph motion over time, divide the motion into intervals and graph the velocity v vs. t and acceleration a vs. t accordingly, describing the motion of the car based on the plotted graphs.