High School

The algebraic formula converting Fahrenheit degrees to degrees Celsius and Celsius degrees to Fahrenheit is shown below:

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

What is the equivalent of -25 degrees Fahrenheit in Celsius, to the nearest whole number?

A. -32 degrees Celsius
B. -27 degrees Celsius
C. 30 degrees Celsius
D. -34 degrees Celsius

Answer :

The equivalent of -25 degrees Fahrenheit in degrees Celsius is a) -32 degrees Celsius.

To convert -25 degrees Fahrenheit to degrees Celsius, we can use the formula:

[tex]C = \frac{5}{9}(F - 32)[/tex]

Where [tex]F[/tex] is the temperature in Fahrenheit and [tex]C[/tex] is the temperature in Celsius.

Let's substitute [tex]-25[/tex] for [tex]F[/tex] in the formula:

[tex]C = \frac{5}{9}(-25 - 32)[/tex]

First, calculate the term in the parentheses:

[tex]-25 - 32 = -57[/tex]

Now the equation looks like this:

[tex]C = \frac{5}{9}(-57)[/tex]

Next, we multiply:

[tex]C = -\frac{285}{9}[/tex]

Now, perform the division:

[tex]C = -31.6667[/tex]

Rounding this to the nearest whole number gives us [tex]-32[/tex] degrees Celsius.

Final answer:

The equivalent of -25 degrees Fahrenheit in Celsius, when calculated using the appropriate conversion formula and rounded to the nearest whole number, is -32 degrees Celsius. Hence, the correct answer is option (a).

Explanation:

The equivalent of -25 degrees Fahrenheit in Celsius can be calculated using the formula C = 5/9(F-32). Plugging the value of -25 for F into the formula gives us:

C = 5/9(-25 - 32)

C = 5/9(-57)

C = -31.666...

To the nearest whole number, -25 degrees Fahrenheit is equivalent to -32 degrees Celsius.

Therefore, the correct answer is (a) -32 degrees Celsius.