Question

Please help me with number 8Calculate the rate of change for each situation show your work and label your units.

Answer 1

The rate of change is the ratio between to changes.

The first change is the degrees outside and this happens in 5 hours, which is the second change.

However, we need to notice that the 10 degrees is a drop, that is, it decreases. This means that the change in temperature is negative.

So, we have:

`\begin{gathered} r\Rightarrow\, \text{rate of change} \\ \Delta y\Rightarrow\, \text{change in the temperature} \\ \Delta x\Rightarrow\, \text{change in time} \\ r=(\Delta y)/(\Delta x) \\ r=(-10\degree)/(5h) \\ r=-(10)/(5)\degree\/h \\ r=-2\degree\/h \end{gathered}`

So, the rate of change is -2 °\h, that is, -2 degrees per hour.