Using the defined freezing and boiling points of water, make a plot of degrees Fahrenheit versus degrees Celsius on the graph paper provided. Determine the Celsius equivalent of 40 degree F using your graph. The relationship between these two temperature scales is linear (that is it is of the form y = mx + 6). Compute the Celsius equivalent of 40 degree F using this relationship.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert temperatures between degrees Fahrenheit (\u00b0F) and degrees Celsius (\u00b0C), we can use the linear relationship defined by the formula:<\/p>\n\n\n\n [ To find the Celsius equivalent of 40\u00b0F using the graph:<\/p>\n\n\n\n Now, let’s compute the Celsius equivalent of 40\u00b0F using the formula:<\/p>\n\n\n\n [ The Celsius equivalent of 40\u00b0F is approximately 4.44\u00b0C. This linear relationship allows for easy conversion between the two temperature scales. The slope ((m)) in the formula indicates how much the Celsius value changes for a given change in Fahrenheit. For example, for every 1\u00b0F increase, the Celsius value increases by approximately 0.56\u00b0C. This linearity simplifies temperature conversions and provides a clear visual representation when graphed, demonstrating how Celsius and Fahrenheit relate across the temperature spectrum.<\/p>\n","protected":false},"excerpt":{"rendered":" Using the defined freezing and boiling points of water, make a plot of degrees Fahrenheit versus degrees Celsius on the graph paper provided. Determine the Celsius equivalent of 40 degree F using your graph. The relationship between these two temperature scales is linear (that is it is of the form y = mx + 6). 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C = \\frac{5}{9}(F – 32)
]<\/p>\n\n\n\nPlotting the Graph<\/h3>\n\n\n\n
\n
\n
\n
\n
\n
Determining Celsius Equivalent of 40\u00b0F<\/h3>\n\n\n\n
\n
Calculation Using the Formula<\/h3>\n\n\n\n
C = \\frac{5}{9}(40 – 32)
]
[
C = \\frac{5}{9}(8)
]
[
C = \\frac{40}{9}
]
[
C \\approx 4.44\u00b0C
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n