Answer:
D. [tex]Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr[/tex]
Step-by-step explanation:
Given
[tex]T_1 =0^{\circ}[/tex]
[tex]T_2 =-12\frac{1}{4}^{\circ}[/tex]
[tex]Time = 3\frac{1}{2}\ hr[/tex]
Required
Determine the change in temperature per hour
This is calculated as:
[tex]Rate = \frac{T_2 - T_1}{Time}[/tex]
[tex]Rate = \frac{-12\frac{1}{4}^{\circ} - 0^{\circ}}{3\frac{1}{2}\ hr}[/tex]
[tex]Rate = \frac{-12\frac{1}{4}^{\circ} }{3\frac{1}{2}\ hr}[/tex]
Convert to improper fractions
[tex]Rate = \frac{-\frac{49}{4}^{\circ} }{\frac{7}{2}\ hr}[/tex]
Express as:
[tex]Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr[/tex]