Final answer:
To plot suitcase weights on a number line, you need the specific weight range. For constructing histograms, divide the data into even intervals, count the frequency for each, and scale the axes accordingly. Always check if solutions from graphical methods are reasonable and correctly scaled.
Step-by-step explanation:
To plot the solution for the range of acceptable suitcase weights on a number line, you would first need the specific range that is being asked for. Without this, you can’t accurately plot on the number line. However, once you have the range, you would use a drawing tool to mark off the interval on the number line that represents the acceptable weights. For example, if the acceptable range is from 20 to 50 pounds, you would draw a solid line or a bracket from the point labeled '20' to the point labeled '50' on the number line. creating a histogram involves dividing your data into intervals (or bins) and then counting how many data points fall into each interval. The count for each interval is then represented by the height of a bar, thus constructing a graphical representation of the data distribution. To construct a histogram, select appropriate scale and intervals for the axes, then draw bars for each interval. Make sure the intervals are evenly spaced on the horizontal axis and that the vertical axis is scaled to accommodate the frequency counts of the intervals.
When using graphical methods to solve problems, ensure that your data is accurately represented on the graph to three significant digits. This involves careful scaling and placement of data points or intervals. After solving the problem graphically, always check to see if the solution makes sense in terms of reality, making sure units are correct, and that the numbers involved are reasonable.