The Ehrenberg equation gives the relationship between the weight W (in kilograms) and the height h (in meters) of a child between the ages of 5 and 13 years old.
a. Research to find the Ehrenberg equation.
b. Find the relationship of a child of the height that you choose. If my choosen height is 2.5m.
c. Find the derivative and use this to find the rate of change for your child.
d. Do you think that this is a good model?
e. Are there other models that you might consider
I had never heard of Ehrenberg's equation, so I googled it and found it in less than 5 seconds.
I bet you can too.
Yes Reiny i know the Ehrenberg's equation it is ln W = ln 2.4 + 1.84h. It is finding the derivatives to find the rate of change for the child i am having a problem with
Since ln 2.4 is just a number, it's like saying
w(h) = ah+b
surely that presents no problems in finding the derivative?
No idea whether it's a good model.
The equation I found is
W = 5.2911e^.0467h
I found this webpage with almost your identical question
http://www.justanswer.com/math-homework/79i35-ehrenberg-equation-gives-relationship-weight.html
Hello Reiny,The one i found is log(W) = 0.8*h + 0.4 now i wounder which is correct.
a. To find the Ehrenberg equation, you can start by conducting a search on the internet or referring to textbooks related to child growth and development. The equation is named after a researcher named Ehrenberg, so searching for "Ehrenberg equation child growth" or a similar query should help you find relevant information.
b. Once you find the Ehrenberg equation, you can substitute the chosen height value of 2.5m into the equation to determine the relationship between weight and height for a child of that height.
c. To find the derivative of the Ehrenberg equation, differentiate it with respect to the height variable, h. The derivative will give you the rate of change of weight with respect to height. Substitute the chosen height value of 2.5m into the derivative equation to find the rate of change for your child.
d. Whether the Ehrenberg equation is a good model depends on various factors, such as the accuracy of the equation in reflecting the actual growth patterns of children and its applicability across a wide range of ages and heights. Consider researching the scientific literature and consulting with experts to assess the reliability and validity of the Ehrenberg equation as a growth model.
e. There are other growth models that you might consider, such as the CDC (Centers for Disease Control and Prevention) growth charts or the WHO (World Health Organization) growth standards. These models are widely used and incorporate data from diverse populations to provide growth references for children. Exploring alternative models can help you compare and evaluate the strengths and limitations of different approaches to child growth assessment.