Respuesta :

Answer:

[tex]\frac{1}{12} [/tex] inches per hour .

Step-by-step explanation:

Between 10 pm and 7:45 am there are 9 hours and 45 minutes i.e. [tex]9+\frac{45}{60} =\frac{39}{4}[/tex] hours

The water level in a swimming pool decreased by amount in [tex]\frac{39}{4}[/tex] hours  = [tex]\frac{13}{16}[/tex] inches

The water level in a swimming pool decreased by amount in 1 hour:

 = [tex]\frac{\frac{13}{16}}{\frac{39}{4}}[/tex] inches

 = [tex]\frac{13}{16} \times \frac{4}{39}[/tex] inches

= [tex]\frac{1}{4} \times \frac{1}{3}[/tex] inches

= [tex]\frac{1}{12} [/tex] inches

Hence  it drop by [tex]\frac{1}{12} [/tex] inches  each hour .

How much did it drop each hour is 0.08333 inches/hour

First step is to calculate the Decrease

Decrease = 13/16 inches

Decrease=0.8125 inches

Second step is to calculate the time interval

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now let determine How much did it drop each hour

0.8125/9.75 inches/hour

=0.08333 inches/hour

Inconclusion How much did it drop each hour is 0.08333 inches/hour

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