The basal energy rate is the daily amount of energy (measured in calories) needed by the for men is B=655.096 + 9.563W +1.85H-4.676A,

Question

A. A male patient is 70 years old, weighs 55 kilograms, and is 172 centimeters tall. A total calorie intake of 1000 calories is prescribed for him. Is he being properly fed? Explain

b. Solve the given formula, for A in terms of the other variables 

c. If a man is 178 centimeters tall, weighs 84 kilograms, and his basal energy rate is 1500 calories, determine how old he is. Be sure to display your work.

Answer 1

Hello! Let's begin by defining our variables and define Basal energy rate

Basal energy rate is the number of calories your body needs to accomplish its most basic (basal) life-sustaining functions.

A = age (in years)

H = height (in centimeters)

W = weight (in kilometers)

A. A male patient is 70 years old, weighs 55 kilograms, and is 172 centimeters tall. A total calorie intake of 1000 calories is prescribed for him. Is he being properly fed? Explain

Given the formula of:

Substitute in the known variables: Basal Energy Rate= 655.096 + 9.563W +1.85H- 4.676A

1. Basal Energy Rate= 655.096 + 9.563(55kg) +1.85(172cm)- 4.676(70yrs)

Basal Energy Rate = 655.096 + 525.965 + 318.2 - 327.32

Basal Energy Rate= 1171.961 calories

This means that for a man of his age, height, and weight, he needs to eat ~1172 calories per day to sustain basic functions of life. Therefore, a diet of 1,000 calories per day is too low, as he requires at least 1171.961 calories per day to sustain basic functions of life.

B. Solve the given formula, for A in terms of the other variables

Basically, this is asking you to re-write the equation to solve for A. To do that, you need to isolate A. The original equation:

Basal Energy Rate= 655.096 + 9.563W +1.85H- 4.676A

-655.096

---> Basal Energy Rate -655.096 = 9.563W + 1.85H -4.676A

-9.563W

--->Basal Energy Rate -655.096 - 9.563W =1.85H -4.676A

-1.85H

---> Basal Energy Rate -655.096 -9.563W -1.85H = -4.676A

÷ (-4.676)

New equation: A= (Basal Energy Rate -655.096 - 9.563W -1.85H)

(-4.676)

C. If a man is 178 centimeters tall, weighs 84 kilograms, and his basal energy rate is 1500 calories, determine how old he is. Be sure to display your work.

Lets use the equation we found in part B to find this man's age:

A= (Basal Energy Rate -655.096 - 9.563W -1.85H)

(-4.676)

A= (1500cal - 655.096 - 9.563(84kg) -1.85(178cm))

(-4.676)

A= (844.904− 803.292 −329.3)

(-4.676)

A= −287.688÷ (-4.676)

A= 61.5 years old

I hope this helps!