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An algebraic model for the hieght of women based on their weight is described by a formula. The formula states, to find the hieght of a women in cm, multiply her weight in kg by 2.1 and then add 40.
a) write this formula and define any varibales that you have used?
b) Use your formula to predict the hieghts of the women missing in the floowing table:
weight kg height cm
57 159.7
59 163.9
61
69
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The formula would be
where h is the height in centimetres, and w the weight in kilograms.
The height in centimetres when weight is 61 kiloghrams is (2.1x61)+40= 168.1 centimetres.
Similarly, when the weight is 69 kilograms, the height is (2.1x69)+40= 184.9 centimetres.
The data given for the first case is weight is 57 kilograms. As per the formula, the height would be (2.1x57)+40= 159.7 centimetres, which is the height given. The formula has been tested for correctness!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
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you're an absolute genius, ganesh! Thanks
so if I wanted to go about rearanging the formula in order to make weight the subject, how would I do that?
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Start: h = 2.1w + 40
Subtract 40 from both sides: h-40 = 2.1w
Divide both sides by 2.1: (h-40)/2.1 = w
Answer: w = (h-40)/2.1
Try h= 159.7: w = ( 159.7-40)/2.1 = 57
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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