Exercise

# Linear Proportionality

The definition of temperature scales is related to the linear expansion of certain liquids, such as mercury and alcohol. Originally, these scales were literally rulers for measuring length of fluid in the narrow marked or "graduated" tube as a proxy for temperature. The alcohol starts in a bulb, and then expands linearly into the tube, in response to increasing temperature of the bulb or whatever surrounds it.

In this exercise, we will explore the conversion between the Fahrenheit and Celsius temperature scales as a demonstration of interpreting slope and intercept of a linear relationship within a physical context.

Instructions

**100 XP**

- Complete the function
`temps_F = convert_scale(temps_C)`

as a linear model where "x" is`temps_C`

and "y" is`temps_F`

. - Compute the change in temperature in both scales by subtracting the freezing temperature from the boiling temperature.
- Compute the
`slope`

as the`change_in_F`

divided by the`change_in_C`

. - Compute the
`intercept`

as the difference between the freezing points`freeze_F`

and`freeze_C`

. - Use the predefined
`plot_temperatures()`

to plot the resulting model.