Answer :
To convert the average cat's body temperature from Celsius to Fahrenheit, we'll use the conversion formula:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
We want to find the temperature in Fahrenheit, [tex]\( F \)[/tex], so we'll rearrange this formula to solve for [tex]\( F \)[/tex]:
[tex]\[ F = C \times \frac{9}{5} + 32 \][/tex]
Here’s how you can calculate it step-by-step:
1. Start with the cat's temperature in Celsius:
[tex]\[ C = 38.6^\circ \text{C} \][/tex]
2. Multiply by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ 38.6 \times \frac{9}{5} = 69.48 \][/tex]
3. Add 32 to the result from step 2:
[tex]\[ F = 69.48 + 32 = 101.48 \][/tex]
Therefore, the average cat’s temperature in Fahrenheit is approximately [tex]\( 101.48^\circ \)[/tex] Fahrenheit.
The correct answer is:
B) [tex]\( 101.48^\circ \)[/tex] Fahrenheit
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
We want to find the temperature in Fahrenheit, [tex]\( F \)[/tex], so we'll rearrange this formula to solve for [tex]\( F \)[/tex]:
[tex]\[ F = C \times \frac{9}{5} + 32 \][/tex]
Here’s how you can calculate it step-by-step:
1. Start with the cat's temperature in Celsius:
[tex]\[ C = 38.6^\circ \text{C} \][/tex]
2. Multiply by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ 38.6 \times \frac{9}{5} = 69.48 \][/tex]
3. Add 32 to the result from step 2:
[tex]\[ F = 69.48 + 32 = 101.48 \][/tex]
Therefore, the average cat’s temperature in Fahrenheit is approximately [tex]\( 101.48^\circ \)[/tex] Fahrenheit.
The correct answer is:
B) [tex]\( 101.48^\circ \)[/tex] Fahrenheit