Hello, thank you for taking the time to post your question!
First you want to start by finding what the rate of change is based on the information given by taking
(46 – 34)/10 = 12/10 = 1.2 degrees per hour
Then you can multiply by the 15 hours
1.2 x 15 = 18 degrees
So the temperature would drop 18 degrees over the 15 hours
I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)