Answer :
To convert the average cat's body temperature from Celsius to Fahrenheit, we use the conversion formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This formula allows us to convert a temperature from Fahrenheit, [tex]\( F \)[/tex], to Celsius, [tex]\( C \)[/tex]. However, since we're converting from Celsius to Fahrenheit, we rearrange it to:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
Given that the average cat's body temperature is [tex]\( 38.6^{\circ} \)[/tex] Celsius, we substitute [tex]\( C = 38.6 \)[/tex] into the formula to find [tex]\( F \)[/tex]:
1. Multiply [tex]\( 38.6 \)[/tex] by [tex]\( \frac{9}{5} \)[/tex]:
[tex]\[
\frac{9}{5} \times 38.6 = 69.48
\][/tex]
2. Add [tex]\( 32 \)[/tex] to the result:
[tex]\[
69.48 + 32 = 101.48
\][/tex]
Therefore, the average cat's body temperature in Fahrenheit is approximately [tex]\( 101.48^{\circ} \)[/tex].
The correct answer is B) [tex]\(101.48^{\circ}\)[/tex] Fahrenheit.
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This formula allows us to convert a temperature from Fahrenheit, [tex]\( F \)[/tex], to Celsius, [tex]\( C \)[/tex]. However, since we're converting from Celsius to Fahrenheit, we rearrange it to:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
Given that the average cat's body temperature is [tex]\( 38.6^{\circ} \)[/tex] Celsius, we substitute [tex]\( C = 38.6 \)[/tex] into the formula to find [tex]\( F \)[/tex]:
1. Multiply [tex]\( 38.6 \)[/tex] by [tex]\( \frac{9}{5} \)[/tex]:
[tex]\[
\frac{9}{5} \times 38.6 = 69.48
\][/tex]
2. Add [tex]\( 32 \)[/tex] to the result:
[tex]\[
69.48 + 32 = 101.48
\][/tex]
Therefore, the average cat's body temperature in Fahrenheit is approximately [tex]\( 101.48^{\circ} \)[/tex].
The correct answer is B) [tex]\(101.48^{\circ}\)[/tex] Fahrenheit.