Problem: One linear model for computing an individual’s “ideal” weight uses the following equations:
Ideal weight for man of height h inches: wman = 160 + 6 × (h – 65)
Ideal weight for woman of height h inches: wwoman = 100 + 5 × (h – 60).
Use Excel to sketch the graph of each of these equations on the same set of axes with h on the horizontal axis and “ideal” weight on the vertical axis. By observing your graph, describe how the two equations differ. (Do not graph)
How do the “ideal” weights compare for a man and a woman who are both 5 feet 7 inches tall?
What is a reasonable interval of values of h for which these equations make sense?
How do you think these models were obtained?