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Section 1 - Question 4

The function [tex]f(x) = 1.8x + 32[/tex] is used to convert temperature in Celsius [tex]x[/tex] to temperature in Fahrenheit [tex]f(x)[/tex].

What do the constant term and the coefficient of the variable term represent?

A. For every change in 1° of temperature in Celsius, the temperature in Fahrenheit changes by 1.8°. The starting value of temperature in Fahrenheit is 32° when the temperature in Celsius is 0.

B. For every change in 1° of temperature in Fahrenheit, the temperature in Celsius changes by 1.8°. The starting value of temperature in Fahrenheit is 32° when the temperature in Celsius is 0.

C. For every change in 1° of temperature in Celsius, the temperature in Fahrenheit changes by 1.8°. The starting value of temperature in Celsius is 32° when the temperature in Fahrenheit is 0.

D. For every change in 1° of temperature in Fahrenheit, the temperature in Celsius changes by 1.8°. The starting value of temperature in Celsius is 32° when the temperature in Fahrenheit is 0.

Answer :

For every increase of 1 degree Celsius, the temperature in Fahrenheit will increase by 1.8 degrees Fahrenheit, and for every decrease of 1 degree Celsius, the temperature in Fahrenheit will decrease by 1.8 degrees Fahrenheit.

The function f(x) = 1.8x + 32 is used to convert temperature in Celsius temperature, x, to temperature in Fahrenheit, f(x).

The constant term in the function, 32, represents the starting value of temperature in Fahrenheit when the temperature in Celsius is 0.

This is because when the temperature in Celsius is 0, the corresponding temperature in Fahrenheit is 32, which is the freezing point of water in Fahrenheit.

The coefficient of the variable term in the function, 1.8, represents the conversion factor between Celsius and Fahrenheit.

Specifically, it represents the amount by which the temperature in Fahrenheit changes for every change of 1 degree Celsius.

Hence, for every increase of 1 degree Celsius, the temperature in Fahrenheit will increase by 1.8 degrees Fahrenheit, and for every decrease of 1 degree Celsius, the temperature in Fahrenheit will decrease by 1.8 degrees Fahrenheit.

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