SOLUTION: Basal energy requirement. The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year-old female with a height of 16

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Basal energy requirement. The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year-old female with a height of 16      Log On


   



Question 195854: Basal energy requirement. The basal energy requirement
B is the number of calories that a person needs to maintain
the life process. For a 28-year-old female with a height of
160 centimeters and a weight of 45 kilograms (kg), B is
1300 calories. If her weight increases to 50 kg, then B is
1365 calories. There is a linear equation that expresses B in
terms of her weight w. Find the equation and find the basal
energy requirement if her weight is 53.2 kg.
This question comes from Elementary and Intermediate Algebra, Chapter 3, Section 3.4, problem #9

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
We are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (45, 1300) and (x2, y2) = (50, 1365).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
a+=%281365-1300%29%2F%2850-45%29
a+=13
Intercept is found from equation
a%2Ax%5B1%5D%2Bb+=+y%5B1%5D
13%2A45+%2Bb+=+1300
b=1300-13%2A45
b+=+715
So the equation of that line is
y=+13x+%2B+715

Now find the Basal value when w = 53.2
y+=+13+%2A+53.2+%2B+715
y+=+691.6+%2B+715
y+=+1406.6