Answer: D. About [tex]\frac{1}{2}[/tex] inches per hour.
Step-by-step explanation:
1. The city received [tex]12^{\frac{1}{4}}[/tex] inches of rain in [tex]25^{\frac{1}{2}}[/tex] hours.
2. Let's write the mixed number as decimal numbers:
[tex]12^{\frac{1}{4}}in=12.25in[/tex]
[tex]25^{\frac{1}{2}}h=25.5h[/tex]
3. To find the approximate rainfall rate in inches per hour, you must divide 12.25 inches by 25.5 hours, as following:
[tex]\frac{12.25in}{25.5h}=0.48\frac{in}{h}[/tex]
4. If you round the result to the nearest tenth, you obtain:
[tex]0.5\frac{in}{h}=\frac{1}{2}\frac{in}{h}[/tex]
5. Therefore, the answer is the option D.
