Match the temperatures with the times.

to 11:00 a.m.

Formula:

$$\text{Average rate} = \frac{\Delta T}{\Delta t}$$

$T_{2:00~\rm a.m.} = -4^\circ \rm C$
$T_{11:00~\rm a.m.} = 14^\circ \rm C$

$$\Delta T = 14^\circ \rm C - (-4^\circ \rm C) = 18^\circ \rm C$$

$\Delta t = 11:00~\rm a.m. - 2:00~\rm a.m. = 9~\rm h$

$$\text{Average rate} = \frac{18^\circ \rm C}{9~\rm h} = 2^\circ \rm C/\rm h$$

2^\circ C/h

to 2:00 p.m.

Formula:

$$\text{Average rate} = \frac{\Delta T}{\Delta t}$$

$T_{11:00~\rm a.m.} = 14^\circ \rm C$
$T_{2:00~\rm p.m.} = -2^\circ \rm C$

$$\Delta T = -2^\circ \rm C - 14^\circ \rm C = -16^\circ \rm C$$

$\Delta t = 2:00~\rm p.m. - 11:00~\rm a.m. = 3~\rm h$

$$\text{Average rate} = \frac{-16^\circ \rm C}{3~\rm h} = -\frac{16}{3}^\circ \rm C/\rm h \approx -5.33^\circ \rm C/\rm h$$

-\frac{16}{3}^\circ C/h

to 2:00 p.m.

Formula:

$$\text{Average rate} = \frac{\Delta T}{\Delta t}$$

$T_{2:00~\rm a.m.} = -4^\circ \rm