SOLUTION: 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

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Question 146078: 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, than 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
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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, than 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
:
Assume that her age and height remain unchanged, then we can ignore those values:
Let x = weight (w)
Let y = calories (b)
:
Find the slope m = %28%28y2-y1%29%29%2F%28%28x2-x1%29%29
:
Assign the values given as follows:
x1 = 45; y1 = 1300; x2 = 50; y2 = 1365
m = %28%281365+-+1300%29%29%2F%28%2850+-+45%29%29 = 65%2F5 = 13 is the slope
:
Use the point/slope formula to find the equation; y - y1 = m(x - x1)
:
y - 1300 = 13(x - 45)
y - 1300 = 13x - 585
y = 13x - 585 + 1300
y = 13x + 715 is the equation
;
Find the basal energy requirement if her weight is 53.2 kg
Substitute 53.2 for x in the above equation
y = 13(53.2) + 715
y = 691.6 + 715
y = 1406.6 calories