At an excavation site, anthropologists use various clues to draw conclusions about people and populations based on skeletal remains. For instance, when a partial skeleton is found, an anthropologist can use the lengths of certain bones to estimate the height of the living person. The humerus bone is the single large bone that extends from the elbow to the shoulder socket. The following formulas, attributed to the work of Mildred Trotter and G. C. Gleser, have been used to estimate a male's height, m, or a female's height, f, when the length, h, of the humerus bone is known: m = 3.08h + 70.45 and f = 3.36h + 58.0. All measurements are in centimeters.
a. Graph the two lines on the same set of axes.
b. If a humerus bone is found and it measures 42 cm, how tall would the person be according to the model if the bone was determined to come from a male? From a female?