Ademented scientist creates a new temperature scale, the "z scale." he decides to call the boiling point of nitrogen 0°z and the melting point of iron 1000°z.
a) what is the boiling point of water on the z scale?
b) convert 100°z to the celsius scale.
c) convert 100°z to the kelvin scale.

A)

B)

C)

Explanation:

For this case we want to create a function like this:

Where Z represent the degrees for the Z scale C the Celsius grades and  tha valus a and b parameters for the model.

The boiling point of nitrogen is -195,8 °C

The melting point of iron is 1538 °C

We know the following equivalences:

-195.8 °C = 0 °Z

1538 °C = 1000 °Z

Let's say that one point its (1538C, 1000 Z) and other one is (-195.8 C, 0Z)

So then we can calculate the slope for the linear model like this:

And now for the slope we can use one point let's use for example (-195.8C, 0Z), and we have this:

And if we solve for b we got:

So then our lineal model would be:

Part A

The boiling point of water is 100C so we just need to replace in the model and see what we got:

Part B

For this case we have Z =100 and we want to solve for C, so we can do this:

Part C

For this case we know that

And we can use the result from part B to solve for K like this:

the maxium height is 34m/s

answer///terminator or twilight zone;