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Answer :
To determine the approximate temperature in degrees Celsius using the provided equation, we'll apply the formula:
[tex]\[ C = \frac{F - 30}{2} \][/tex]
where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
Let's solve each part step-by-step:
a. When the temperature is [tex]\( 28^{\circ} F \)[/tex]:
1. Substitute [tex]\( 28 \)[/tex] for [tex]\( F \)[/tex] in the equation:
[tex]\[ C = \frac{28 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ 28 - 30 = -2 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-2}{2} = -1 \][/tex]
Therefore, the approximate temperature is [tex]\( -1^{\circ} C \)[/tex].
b. When the temperature is [tex]\( -8^{\circ} F \)[/tex]:
1. Substitute [tex]\( -8 \)[/tex] for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{-8 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ -8 - 30 = -38 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-38}{2} = -19 \][/tex]
Therefore, the approximate temperature is [tex]\( -19^{\circ} C \)[/tex].
c. When the temperature is [tex]\( -20^{\circ} F \)[/tex]:
1. Substitute [tex]\( -20 \)[/tex] for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{-20 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ -20 - 30 = -50 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-50}{2} = -25 \][/tex]
Therefore, the approximate temperature is [tex]\( -25^{\circ} C \)[/tex].
These calculations give you the approximate temperatures in degrees Celsius for each of the given Fahrenheit temperatures.
[tex]\[ C = \frac{F - 30}{2} \][/tex]
where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
Let's solve each part step-by-step:
a. When the temperature is [tex]\( 28^{\circ} F \)[/tex]:
1. Substitute [tex]\( 28 \)[/tex] for [tex]\( F \)[/tex] in the equation:
[tex]\[ C = \frac{28 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ 28 - 30 = -2 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-2}{2} = -1 \][/tex]
Therefore, the approximate temperature is [tex]\( -1^{\circ} C \)[/tex].
b. When the temperature is [tex]\( -8^{\circ} F \)[/tex]:
1. Substitute [tex]\( -8 \)[/tex] for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{-8 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ -8 - 30 = -38 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-38}{2} = -19 \][/tex]
Therefore, the approximate temperature is [tex]\( -19^{\circ} C \)[/tex].
c. When the temperature is [tex]\( -20^{\circ} F \)[/tex]:
1. Substitute [tex]\( -20 \)[/tex] for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{-20 - 30}{2} \][/tex]
2. Calculate inside the parenthesis:
[tex]\[ -20 - 30 = -50 \][/tex]
3. Divide the result by 2:
[tex]\[ C = \frac{-50}{2} = -25 \][/tex]
Therefore, the approximate temperature is [tex]\( -25^{\circ} C \)[/tex].
These calculations give you the approximate temperatures in degrees Celsius for each of the given Fahrenheit temperatures.
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