Question 388524
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 = {{{(y2-y1)/(x2-x1)}}}
Assign the x,y values as follows
x1=45; y1=1300
x2=50; y2=1365
m = {{{(1365-1300)/(50-45)}}} = {{{65/5}}} = 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