The problem asks us to calculate the number of visits per hour that Jack's website received between 13:30 and 19:45, given that 1600 people had visited by 13:30 and 15000 people had visited by 19:45.

1. Problem Description

The problem asks us to calculate the number of visits per hour that Jack's website received between 13:30 and 19:45, given that 1600 people had visited by 13:30 and 15000 people had visited by 19:

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2. Solution Steps

First, calculate the number of visitors between 13:30 and 19:

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5. $Number \ of \ visitors = Total \ visitors \ at \ 19:45 - Total \ visitors \ at \ 13:30$

$Number \ of \ visitors = 15000 - 1600 = 13400$

Next, calculate the time difference between 13:30 and 19:

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5. From 13:30 to 19:30 is 6 hours. From 19:30 to 19:45 is 15 minutes, or 0.25 hours.

$Total \ time = 6 + 0.25 = 6.25 \ hours$

Finally, divide the number of visitors by the total time to find the number of visits per hour.

$Visits \ per \ hour = \frac{Number \ of \ visitors}{Total \ time}$

$Visits \ per \ hour = \frac{13400}{6.25} = 2144$

3. Final Answer

The number of visits per hour that Jack's website received between 13:30 and 19:45 is 2144.