Answer :
Final answer:
Mark's new BMR with a fever of 99.6ºF would be approximately 2,386.8 calories.
Explanation:
The basal metabolic rate (BMR) is the amount of daily energy expended by the body at rest. One factor that can affect the BMR is body temperature. According to the information provided, for every increase of 0.5°C in body temperature, the BMR increases by about 7 percent. Mark has a fever of 99.6ºF, which is approximately 37.6ºC. By applying the 7 percent increase for every 0.5°C, we can calculate the new BMR as follows:
Original BMR = 2,200 calories
Temperature increase = 37.6°C - 37°C = 0.6°C
Number of 0.5°C increments = 0.6°C ÷ 0.5°C = 1.2
7 percent increase per increment = 7% × 1.2 = 8.4%
New BMR = 2,200 calories + (8.4% × 2,200 calories) = 2,386.8 calories (approximately)
Final answer:
Mark's BMR will increase due to his fever. With a temperature increase of about 0.555°C, his BMR would go up by approximately 7.5%, resulting in an adjusted BMR of roughly 2,365 calories.
Explanation:
Impact of Fever on Basal Metabolic Rate (BMR)
The student is asking about how the BMR changes with an increase in body temperature due to a fever. Mark's original BMR is 2,200 calories. However, when the body's internal temperature rises, the BMR increases as well. According to the reference, for every increase of 0.5° C in internal temperature, the BMR increases by 7%. Since fever can raise the metabolic rate by 14-15% per degree centigrade, we can calculate Mark's altered BMR due to his fever.
First, let's convert Mark's fever temperature from Fahrenheit to Celsius:
99.6°F - 32 = 67.6°F
67.6°F * (5/9) = 37.555°C
A typical human body temperature is about 37°C, so Mark's increase in temperature due to fever is approximately: 37.555°C - 37°C = 0.555°C
Since Mark's body temperature has increased by 0.555°C, this is just above the 0.5°C threshold mentioned in the reference, which means an approximate 7% increase in BMR for each 0.5°C. However, with the stated increase of 14-15% per degree centigrade, we should calculate using that larger figure. The exact increase might be:
0.555°C ≈ 7.5% increase in BMR (assuming 14% per degree)
Now, we will calculate the new BMR:
2,200 calories * (1 + 7.5%) ≈ 2,365 calories
Therefore, considering the 7.5% increase due to the fever, Mark's adjusted BMR would be approximately 2,365 calories.
