High School

Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. The variable [tex]f[/tex] represents the temperature in degrees Fahrenheit as a function of the temperature [tex]c[/tex] in degrees Celsius.

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

Water freezes at 0 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?

____ degrees Fahrenheit

Answer :

To find the freezing temperature of water in degrees Fahrenheit, we can use the given formula that relates degrees Fahrenheit ([tex]\(f\)[/tex]) to degrees Celsius ([tex]\(c\)[/tex]):

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

We know that water freezes at 0 degrees Celsius. We'll substitute this value into the formula to find the corresponding temperature in degrees Fahrenheit.

1. Start with the formula:
[tex]\[ f = 32 + 1.8 \times c \][/tex]

2. Substitute [tex]\( c = 0 \)[/tex] (the freezing point in Celsius) into the formula:
[tex]\[ f = 32 + 1.8 \times 0 \][/tex]

3. Calculate [tex]\( 1.8 \times 0 \)[/tex], which is 0:
[tex]\[ f = 32 + 0 \][/tex]

4. Finally, simplify the expression:
[tex]\[ f = 32 \][/tex]

Therefore, the freezing temperature of water in degrees Fahrenheit is 32 degrees Fahrenheit.