Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formula gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is 8- V hw 60 In this exercise we consider people who are 170 centimeters tall. (a) Write a formula for B as a function of w. B- (b) Make a graph of B versus w. Include weights up to 100 kilograms. B 3.0r 30 25 25 5 20 - 20 15 1.5 10 1.0 0s 05 20 40 60 80 100 20 40 60 80 100 3.0r 3.0 25 25 20 20 15 1.5 1.0 1.0 05 0.5 20 40 60 80 100 20 40 60 80 100
Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formula gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is 8- V hw 60 In this exercise we consider people who are 170 centimeters tall. (a) Write a formula for B as a function of w. B- (b) Make a graph of B versus w. Include weights up to 100 kilograms. B 3.0r 30 25 25 5 20 - 20 15 1.5 10 1.0 0s 05 20 40 60 80 100 20 40 60 80 100 3.0r 3.0 25 25 20 20 15 1.5 1.0 1.0 05 0.5 20 40 60 80 100 20 40 60 80 100
Question

Transcribed Image Text:(c) Is the graph you made in part (b) concave up or concave down?
O concave up
O concave down
(d) In this part we consider the effect of weight gain on men who are 170 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a heavier man?
O lighter man
O heavier man
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Transcribed Image Text:Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formulat gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the
height h in centimeters. The relation is
hw
B =
60
In this exercise we consider people who are 170 centimeters tall.
(a) Write a formula for B as a function of w.
B =
(b) Make a graph of B versus w. Include weights up to 100 kilograms.
B
B
3.0
3.0r
2.5
2.5
2.0
2.0-
1.5
1.5
1.0
1.0
0.5
0.5-
0.0
0.0
20
40
60
80
100
20
40
60
80
100
B
3.0
3.0
2,5
2.5
2.0
2.0
1.5
1.5
1.0
1.0
0.5
0.5
0.0
20
40
60
80
100
20
40
60
80
100
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