Water freezes at 0 ° Celsius and 32° Fahrenheit. Water boils at 100° Celsius and 212° Fahrenheit.

a. Write degrees Celsius as a linear function of degrees Fahrenheit (1 point).

b. What is the slope of your linear equation? What does it mean? (1 point)

c. What is the y-intercept and what does it mean? (1 point)

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

1e+27

step-by-step explanation: