Estimating heights. An anthropologist can use certain linear functions to estimate the height of a male or female, given the length of certain bones. The humerus is the bone from the elbow to the shoulder. Let x = the length of the humerus, in centimeters Then the height, in centimeters, of a male with a humerus of length x its given by M ( x ) = 2.89 x + 70.64 The height, in centimeters, of a female with a humerus of length x is given by F ( x ) = 2.75 x + 71.48 A 26-cm humerus was uncovered in some ruins. a. If we assume it was from a male, how tall was he? b. If we assume it was from a female, how tall was she?
Estimating heights. An anthropologist can use certain linear functions to estimate the height of a male or female, given the length of certain bones. The humerus is the bone from the elbow to the shoulder. Let x = the length of the humerus, in centimeters Then the height, in centimeters, of a male with a humerus of length x its given by M ( x ) = 2.89 x + 70.64 The height, in centimeters, of a female with a humerus of length x is given by F ( x ) = 2.75 x + 71.48 A 26-cm humerus was uncovered in some ruins. a. If we assume it was from a male, how tall was he? b. If we assume it was from a female, how tall was she?
Estimating heights. An anthropologist can use certain linear functions to estimate the height of a male or female, given the length of certain bones. The humerus is the bone from the elbow to the shoulder. Let x = the length of the humerus, in centimeters Then the height, in centimeters, of a male with a humerus of length x its given by
M
(
x
)
=
2.89
x
+
70.64
The height, in centimeters, of a female with a humerus of length x is given by
F
(
x
)
=
2.75
x
+
71.48
A 26-cm humerus was uncovered in some ruins.
a. If we assume it was from a male, how tall was he?
b. If we assume it was from a female, how tall was she?
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