Relations Versus Functions : Real-Life Application and Celsius-Fahrenheit Temperature Conversion
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1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?
2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100
A. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
B. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
C. How do the graphs of these two functions differ?
Do not just list the functions. You must show all of the steps you used to derive the functions.
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Solution Summary
Real-life applications of relations and functions are discussed. Celsius-Fahrenheit temperature conversion is investigated. The solution is detailed and well presented.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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