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 160 c

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Question 388524: 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
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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.
:
Find the slope: m = %28y2-y1%29%2F%28x2-x1%29
Assign the x,y values as follows
x1=45; y1=1300
x2=50; y2=1365
m = %281365-1300%29%2F%2850-45%29 = 65%2F5 = 13 is the slope
Write an equation using the point/slope form; y - y1 - m(x - x1)
y-1300 = 13(x - 45)
y - 1300 = 13x - 585
y = 13x - 585 + 1300
y = 13x + 715; the equation
which is
B = 13w + 714; the equation that expresses B in terms of w
:
find the basal energy requirement if her weight is 53.2 kg
B = 13(53.2) + 715
B = 1406.6 calories required