High School

Problemas verbales de ecuaciones lineales

La temperatura se puede medir en dos unidades comunes diferentes: grados Celsius y grados Fahrenheit. La ecuación [tex]f = 32 + 1.8c[/tex] representa la temperatura en grados Fahrenheit en función de la temperatura en grados Celsius.

El agua se congela a 0 grados Celsius. ¿Cuál es la temperatura de congelación del agua en grados Fahrenheit?

[tex]\square[/tex] grados Fahrenheit

Answer :

To find the freezing point of water in degrees Fahrenheit, we start with the relationship between degrees Celsius (°C) and degrees Fahrenheit (°F) given by the formula:

[tex]\[ f = 32 + 1.8 \times c \][/tex]

where [tex]\( f \)[/tex] is the temperature in degrees Fahrenheit, and [tex]\( c \)[/tex] is the temperature in degrees Celsius.

1. Identify the freezing point in Celsius:
The freezing point of water is 0 degrees Celsius.

2. Substitute the Celsius value into the formula:
We substitute [tex]\( c = 0 \)[/tex] into the formula:

[tex]\[ f = 32 + 1.8 \times 0 \][/tex]

3. Calculate the Fahrenheit equivalent:
Simplify the expression:

[tex]\[ f = 32 + 0 = 32 \][/tex]

Therefore, the freezing point of water is 32 degrees Fahrenheit.