• SAT
High School

Fahrenheit and Celsius are related by the equation [tex]F = \frac{9}{5}C + 32[/tex]. If the Fahrenheit temperature increased by 27 degrees, what is the increase in Celsius?

Answer :

Answer:

C = -2.77778°

Explanation:

To find the increase in Celsius, we just need to convert the degrees in Fahrenheit!

Let's plug in 27 in the equation provided.

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

[tex]27 = \frac{9}{5}C + 32[/tex]

Now, solve!

[tex]27 - 32= \frac{9}{5}C[/tex]

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

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

[tex]- \frac{25}{9 }= C[/tex]

C = -2.77778°

Hope I helped! Let me know if you would like me to explain anything in my answer!