Question

a pound of body fat stores in the amount of chemical energy equivalent to 3500 calories. When sleeping the average adult burns on and expends about 0.45 Cal/h How many calories would a 150 lb person burn during 8 hours of sleep?How how long would the personhave to sleep continuously to lose one pound of body fat

Answer 1

We know that

• The average is 0.45 calories per hour.

,

• The energy stored is 3500 calories per pound of body fat.

,

• The mass is 150 pounds.

,

• The hours of sleep are 8.

First, we have to multiply the mass 150 lb by the average rate

$150lb\times0.45=67.5\text{cal}/hr$

This means that this person burns 67.5 calories per hour. Now, we have to multiply this rate by 8 hours.

$67.5\times8=540\text{cal}$

Therefore, a 150 lb person would burn 540 calories during 8 hours of sleep.

Now, we know that 1 pound of body fat is equivalent to 3500 calories. So, let's use a rule of three to find the period of time would take this person to lose one pound of body fat (3500 cal).

$\frac{67.5\text{cal}}{1hr}=\frac{3500\text{cal}}{x}$

Let's solve for x

$\begin{gathered} x=\frac{3500}{67.5}hr \\ x\approx51.9hr \end{gathered}$

Therefore, this person would have to sleep continuously for 51.9 hours to lose one pound of body fat.