High School

Water boils at [tex]$100^{\circ}$[/tex] Celsius or [tex]$212^{\circ}$[/tex] Fahrenheit. Water freezes at [tex]$0^{\circ}$[/tex] Celsius or [tex]$32^{\circ}$[/tex] Fahrenheit.

If the weather forecaster says it will be [tex]$25^{\circ}$[/tex] Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answer :

To find the equivalent Fahrenheit temperature for [tex]\(25^{\circ}\)[/tex] Celsius, you can use the conversion formula between Celsius and Fahrenheit. The formula is:

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

where [tex]\( F \)[/tex] is the temperature in Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.

Let's use the formula step by step:

1. Identify the given Celsius temperature:
The Celsius temperature given is [tex]\(25^{\circ}\)[/tex].

2. Plug the Celsius temperature into the formula:
Substitute [tex]\( C = 25 \)[/tex] into the formula, and you get:
[tex]\[ F = 25 \times \frac{9}{5} + 32 \][/tex]

3. Multiply 25 by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ 25 \times \frac{9}{5} = 45 \][/tex]

4. Add 32 to the result:
[tex]\[ 45 + 32 = 77 \][/tex]

Therefore, [tex]\(25^{\circ}\)[/tex] Celsius is equivalent to [tex]\(77^{\circ}\)[/tex] Fahrenheit.