SOLUTION: Calculate the mass that would yeild a body mass index of 20 or less for the following heights a)150 cm b) 185 cm An altheletes BMI is 20. For each mass, how tall is the athele

Algebra ->  Probability-and-statistics -> SOLUTION: Calculate the mass that would yeild a body mass index of 20 or less for the following heights a)150 cm b) 185 cm An altheletes BMI is 20. For each mass, how tall is the athele      Log On


   



Question 160945: Calculate the mass that would yeild a body mass index of 20 or less for the following heights
a)150 cm
b) 185 cm
An altheletes BMI is 20. For each mass, how tall is the athele?
a)65 kg
b)55 kg

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the mass that would yeild a body mass index of 20 or less for the following heights
a)150 cm
b) 185 cm
An altheletes BMI is 20. For each mass, how tall is the athele?
a)65 kg
b)55 kg
.
First, you need to know the formula to calculate the "body mass index":
BMI = weight(kg)/height^2(m^2)
where
BMI is the body mass index
.
a)150 cm
100 centimeter = 1 meter
converting to meters:
150 cm = 1.5m
Pluggin in our values into:
BMI = weight(kg)/height^2(m^2)
20 = w/(1.5)^2
w = 20(1.5)^2
w = 45 kg
.
b) 185 cm
100 centimeter = 1 meter
converting to meters:
185 cm = 1.85m
Pluggin in our values into:
BMI = weight(kg)/height^2(m^2)
20 = w/(1.85)^2
w = 20(1.85)^2
w = 68.45 kg
.
An altheletes BMI is 20. For each mass, how tall is the athele?
a)65 kg
Pluggin in our values into:
BMI = weight(kg)/height^2(m^2)
20 = 65/h^2
h^2 = 65/20
h^2 = 3.25
h = 1.8 m or 180 cm
.
b)55 kg
Pluggin in our values into:
BMI = weight(kg)/height^2(m^2)
20 = 55/h^2
h^2 = 55/20
h^2 = 2.75
h = 1.66 m or 166 cm