document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #106677 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
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
\n" ); document.write( ":
\n" ); document.write( "Assume that her age and height remain unchanged, then we can ignore those values:
\n" ); document.write( "Let x = weight (w)
\n" ); document.write( "Let y = calories (b)
\n" ); document.write( ":
\n" ); document.write( "Find the slope m = \"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Assign the values given as follows:
\n" ); document.write( "x1 = 45; y1 = 1300; x2 = 50; y2 = 1365
\n" ); document.write( "m = \"%28%281365+-+1300%29%29%2F%28%2850+-+45%29%29\" = \"65%2F5\" = 13 is the slope
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope formula to find the equation; y - y1 = m(x - x1)
\n" ); document.write( ":
\n" ); document.write( "y - 1300 = 13(x - 45)
\n" ); document.write( "y - 1300 = 13x - 585
\n" ); document.write( "y = 13x - 585 + 1300
\n" ); document.write( "y = 13x + 715 is the equation
\n" ); document.write( ";
\n" ); document.write( "Find the basal energy requirement if her weight is 53.2 kg
\n" ); document.write( "Substitute 53.2 for x in the above equation
\n" ); document.write( "y = 13(53.2) + 715
\n" ); document.write( "y = 691.6 + 715
\n" ); document.write( "y = 1406.6 calories
\n" ); document.write( "
\n" );