Middle School

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You can convert a temperature given in degrees Celsius to Fahrenheit by using the expression \(\frac{9x}{5} + 32\), where \(x\) is the Celsius temperature.

a) Water freezes when the temperature is 0 degrees Celsius. At what Fahrenheit temperature does water freeze?

b) Water boils at 100 degrees Celsius. At what temperature does water boil in degrees Fahrenheit?

c) The temperature of some water is 15 degrees Celsius. What is the Fahrenheit temperature?

Answer :

To convert Celsius to Fahrenheit, a) Water freezes at 32°F. b) Water boils at 212°F. c) 15°C is equivalent to 59°F.

To convert temperatures from degrees Celsius (°C) to degrees Fahrenheit (°F), we use the formula:

[tex]T_{\text{F}} = \left(\frac{9}{5} \times T_{\text{C}}\right) + 32[/tex]

where

[tex]T_{\text{C}}[/tex] is the temperature in degrees Celsius

[tex]T_{\text{F}}[/tex] is the temperature in degrees Fahrenheit.

a) Water freezes at 0°C. To find the corresponding Fahrenheit temperature:

  1. Plug in [tex]T_{\text{C}} = 0[/tex] into the formula:
    [tex]T_{\text{F}} = \left(\frac{9}{5} \times 0\right) + 32[/tex]
    [tex]T_{\text{F}} = 0 + 32 = 32\(^\circ}\)F[/tex]

Thus, water freezes at 32°F.

b) Water boils at 100°C. To find the Fahrenheit equivalent:

  1. Plug in [tex]T_{\text{C}} = 100[/tex] into the formula:
    [tex]T_{\text{F}} = \left(\frac{9}{5} \times 100\right) + 32[/tex]
    [tex]T_{\text{F}} = 180 + 32 = 212\(^\circ\)F[/tex]

water boils at 212°F.

c) To convert 15°C to Fahrenheit:

  1. Plug in [tex]T_{\text{C}} = 15[/tex] into the formula:
    [tex]T_{\text{F}} = \left(\frac{9}{5} \times 15\right) + 32[/tex]
    [tex]T_{\text{F}} = 27 + 32 = 59\(^\circ\)F[/tex]

The temperature of the water at 15°C is 59°F.

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