Thank you for visiting If the temperature goes up 1 degree Celsius it goes up 1 8 degrees Fahrenheit tex 0 circ tex Celsius equals tex 32 circ tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the question, we need to create a function that converts Celsius to Fahrenheit and determine if there is a temperature that is the same in both scales.
Step 1: Create the conversion function
We know that for every 1 degree Celsius increase, the Fahrenheit temperature increases by 1.8 degrees. Additionally, 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. This gives us the formula for converting Celsius to Fahrenheit:
[tex]\[ f(c) = 1.8c + 32 \][/tex]
So, the function [tex]\( f(c) \)[/tex] is:
[tex]\[ f(c) = 1.8 \cdot c + 32 \][/tex]
Step 2: Determine if there is a temperature that is the same in both Celsius and Fahrenheit
We need to find if there's a temperature [tex]\( c \)[/tex] where [tex]\( f(c) = c \)[/tex]. This means Celsius and Fahrenheit readings are the same. Let's set up the equation:
[tex]\[ 1.8c + 32 = c \][/tex]
To find [tex]\( c \)[/tex], first subtract [tex]\( c \)[/tex] from both sides:
[tex]\[ 1.8c - c + 32 = 0 \][/tex]
This simplifies to:
[tex]\[ 0.8c + 32 = 0 \][/tex]
Now, subtract 32 from both sides:
[tex]\[ 0.8c = -32 \][/tex]
Finally, divide by 0.8 to solve for [tex]\( c \)[/tex]:
[tex]\[ c = \frac{-32}{0.8} \][/tex]
This calculation results in:
[tex]\[ c = -40 \][/tex]
Therefore, the functions and solutions are as follows:
- The conversion function is [tex]\( f(c) = 1.8c + 32 \)[/tex].
- The temperature that is the same in both Celsius and Fahrenheit is [tex]\(-40\)[/tex] degrees.
Step 1: Create the conversion function
We know that for every 1 degree Celsius increase, the Fahrenheit temperature increases by 1.8 degrees. Additionally, 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. This gives us the formula for converting Celsius to Fahrenheit:
[tex]\[ f(c) = 1.8c + 32 \][/tex]
So, the function [tex]\( f(c) \)[/tex] is:
[tex]\[ f(c) = 1.8 \cdot c + 32 \][/tex]
Step 2: Determine if there is a temperature that is the same in both Celsius and Fahrenheit
We need to find if there's a temperature [tex]\( c \)[/tex] where [tex]\( f(c) = c \)[/tex]. This means Celsius and Fahrenheit readings are the same. Let's set up the equation:
[tex]\[ 1.8c + 32 = c \][/tex]
To find [tex]\( c \)[/tex], first subtract [tex]\( c \)[/tex] from both sides:
[tex]\[ 1.8c - c + 32 = 0 \][/tex]
This simplifies to:
[tex]\[ 0.8c + 32 = 0 \][/tex]
Now, subtract 32 from both sides:
[tex]\[ 0.8c = -32 \][/tex]
Finally, divide by 0.8 to solve for [tex]\( c \)[/tex]:
[tex]\[ c = \frac{-32}{0.8} \][/tex]
This calculation results in:
[tex]\[ c = -40 \][/tex]
Therefore, the functions and solutions are as follows:
- The conversion function is [tex]\( f(c) = 1.8c + 32 \)[/tex].
- The temperature that is the same in both Celsius and Fahrenheit is [tex]\(-40\)[/tex] degrees.
Thank you for reading the article If the temperature goes up 1 degree Celsius it goes up 1 8 degrees Fahrenheit tex 0 circ tex Celsius equals tex 32 circ tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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