I am having so much trouble with this math question.?

Question

The Fahrenheit measure of temperature is a function of the Celsius measure. The Fahrenheit measure is 32 more than the Celsius measure. Use g to represent the function.

*I have to find the imput and output.

*Let x represent the imput variable. Use function notation to represent the output variable.

*translate the verbal statement into a symbolic statement.

Thanks for helping me.

Answer 1

Alright, your g(x) = x + 32, the way you have it written.  But that is not really correct Fahrenheit equals (Celsius*(9/5))+32.

g(x) = ((9/5)*x)+32, where x is the input variable of temperature measured in Celsius.

Now, if you find that the Fahrenheit measure is 32 more than the Celsius measure, then there is only one answer to satisfy the function:  temperature is 0 degrees celsius or 32 degrees fahrenheit

Answer 2

When it is 0º C, it is 32º F

When it is 100º, it is 212º F

g(x) =9/5 x +32

Fahrenheit is 9/5 of the Centrigrade temp plus 32.

Answer 3

The difference between the boiling and freezing points of water in C-Grade is 100 and by F-Grade is 180:

.

The freezing point of water in C-Grade is zero and by F-Garde equales to 32. The boiling point in C-Grade is 100 and by F-garde 212.

Hence:

(g-32)/180 = x/100 >>> g-32 = 180x/100= 1.8x

g = 1.8x + 32 = g(x) is your desired funktion