When temperature is zero degree celsius, the fahrenheit temperature is 32. when the celsius temperature is 100, the corresponding fahrenheit temperature is 212. express the fahrenheit temperature as a linear function of c, the celsius temperature, f(c).

or

or equivalently:

or

Step-by-step explanation:

To express the Fahrenheit temperature as a linear function of the Celsius temperature, F(c), we can proceed as follows.

We can use here the two-point form equation of a line:

[1]

We are asked to express the Fahrenheit temperature as a function of Celsius temperature, so the independent variable, in this case, is x (Celsius temperature) and the dependent variable is y (Fahrenheit temperature).

When temperature is zero degree Celsius (), the Fahrenheit temperature is 32 ().

When the Celsius temperature is 100 (), the corresponding Fahrenheit temperature is 212 ().

Then, using [1], we have:

.

It could be also be written as:

= , as it commonly appears in books.

Then the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c) is ( solving the equation for y ) :

or .

Or equivalently:

or

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

= 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

= 212 Fahrenheit degrees.

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10