Answer :
The constant term (32) in the function represents the starting value of temperature in Fahrenheit when the temperature in Celsius is 0 degrees.
The coefficient of the variable term (1.8) represents the rate of change in temperature in Fahrenheit with respect to a change in temperature in Celsius. Specifically, it signifies that for every 1-degree change in Celsius temperature, the temperature in Fahrenheit changes by 1.8 degrees. This coefficient reflects the linear relationship between Celsius and Fahrenheit temperatures, demonstrating how they are related by a constant multiplier (1.8) in this conversion formula.
In more detailed explanation, the function \(f(x) = 1.8x + 32\) is used to convert temperatures from Celsius (x) to Fahrenheit (f(x)). The constant term, 32, is the key to understanding the starting point of the conversion. When the Celsius temperature is 0 degrees (x = 0), the equation simplifies to \(f(0) = 1.8 * 0 + 32\), which equals 32 degrees Fahrenheit. This aligns with the fact that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit.
The coefficient of the variable term, 1.8, represents the rate of change between the two temperature scales. For every 1-degree change in Celsius (Δx = 1), the Fahrenheit temperature changes by 1.8 degrees. This coefficient reflects the slope of the linear relationship between Celsius and Fahrenheit temperatures. It illustrates how the two scales are related by a constant multiplier, making it possible to convert between them using this simple formula. So, as you increase or decrease the Celsius temperature by 1 degree, the corresponding change in Fahrenheit is always 1.8 times that, leading to a proportional conversion between the two temperature scales.
Learn more about function here: https://brainly.com/question/35208580
#SPJ1
