Answer:
[tex]\frac{1}{26}[/tex] inches
Step-by-step explanation:
In order to solve this problem, we need to create a ratio.
Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.
10pm + 2 hours = 12 AM
12 AM + 7.75 hours = 7:45 AM
So in total, it's 9.75 hours.
[tex]\frac{3}{8}[/tex] is the same as 0.375.
Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].
Now we can create the proportion:
[tex]\frac{1}{26}=\frac{x}{1}[/tex]
Now we solve for x by cross multiplying.
[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]
Hope this helped!
