The normal body temperature of a camel is 97.7 ℉ in the morning. If it has had no water by noon, its body temperature can be greater than 104 ℉. If C represents degrees Celsius, then F = 95C + 32. Write and solve an inequality to find the camel’s body temperature at noon in degrees Celsius.
The Correct Answer and Explanation is:
Step-by-Step Solution:
We are asked to find the camel’s body temperature at noon in degrees Celsius, knowing:
- Morning temperature: 97.7°F
- Noon temperature: Can be greater than 104°F
- Formula to convert Fahrenheit to Celsius:
F=1.8C+32F = 1.8C + 32F=1.8C+32
But in your expression, it is given as:
F=95C+32F = 95C + 32F=95C+32
This looks like a typo, the correct formula is:
F=1.8C+32F = 1.8C + 32F=1.8C+32
We will proceed with the correct formula to avoid incorrect results.
Write the inequality:
We are told that at noon, the temperature is greater than 104°F:F>104F > 104F>104
Substitute the conversion formula:F=1.8C+32F = 1.8C + 32F=1.8C+32
Thus, the inequality becomes:1.8C+32>1041.8C + 32 > 1041.8C+32>104
Solve for C:
- Subtract 32 from both sides: 1.8C>104−321.8C > 104 – 321.8C>104−32 1.8C>721.8C > 721.8C>72
- Divide both sides by 1.8: C>721.8C > \frac{72}{1.8}C>1.872 C>40C > 40C>40
Final Answer:
The camel’s body temperature at noon is greater than 40°C.
Explanation:
The normal morning temperature for the camel is given in Fahrenheit, but to understand the temperature in Celsius, a conversion is needed using the standard formula:F=1.8C+32F = 1.8C + 32F=1.8C+32
This formula relates Fahrenheit and Celsius directly. We applied the inequality based on the information that the noon temperature exceeds 104°F. Rearranging the inequality lets us isolate the Celsius temperature. After simple algebraic steps, we found that the body temperature of the camel at noon exceeds 40°C.
This physiological adaptation allows camels to tolerate significant body temperature fluctuations without water, helping them survive harsh desert climates.
