You can put this solution on YOUR website!
Let x=weight and y=basal energy requirement
Since "For a 28 year old female with a height of 160 cm and a weight of 45 kilograms, B is 1300 calories", this means that
. This gives the first point (45,1300). Note: the height is extra info that is not needed for this problem. They probably threw that in there to throw you off.
Also, "If her weight increased to 50 kg, then B is 1365 calories" means that
giving the second point (50,1365)
So we must find the equation of the line through the points (45,1300) and (50,1365)
First let's find the slope of the line through the points
Start with the slope formula.
So the slope of the line that goes through the points
Now let's use the point slope formula:
Start with the point slope formula
Add 1300 to both sides.
Combine like terms.
So the equation that goes through the points
Now to be consistent, let's replace "x" with "w" (the weight) and "y" with "B" (the basal energy requirement) to get
. Note: I used "x" and "y" as it is more general
So this means that the equation that models the basal energy requirement given the weight is
Now to find the specific basal energy requirement given a weight of 53.2 kg, simply plug in
into the equation
Start with the given equation
So if her weight is 53.2 kg, then the basal energy requirement is 1,406.6 calories