High School

The relationship between degrees Fahrenheit (F) and degrees Celsius (C) is given by the formula:

\[ F = \frac{9}{5} C + 32 \]

What is the Celsius temperature when the Fahrenheit temperature is 41?

Round the answer to the nearest whole number.

A. 55
B. 5
C. -9
D. 41
E. 16

Answer :

Answer:

[tex]C = 5[/tex]

Step-by-step explanation:

Given

[tex]F = \frac{9}{5}C + 32[/tex]

Required

Find C when [tex]F = 41[/tex]

We have:

[tex]F = \frac{9}{5}C + 32[/tex]

Substitute 41 for F

[tex]41 = \frac{9}{5}C + 32[/tex]

Collect like terms

[tex]\frac{9}{5}C = 41- 32[/tex]

[tex]\frac{9}{5}C = 9[/tex]

Multiply both sides by 5/9

[tex]C = 9 * \frac{5}{9}[/tex]

[tex]C = 5[/tex]

Final answer:

To convert 41°F to Celsius, subtract 32 from the Fahrenheit temperature and then multiply by 5/9. The Celsius temperature is 5°C.

Explanation:

To find the Celsius temperature when the Fahrenheit temperature is 41 degrees, we use the formula for converting Fahrenheit to Celsius. The formula is °C = (5/9) × (°F - 32). Substituting 41 for °F, the formula becomes:

°C = (5/9) × (41 - 32)

°C = (5/9) × 9

°C = 5

Therefore, the temperature in Celsius is 5°C when the temperature in Fahrenheit is 41°F. When rounded to the nearest whole number, the Celsius temperature is 5°C.