Quostlon 3 1. The tómperature In Austria one morning was \( -5^{\circ} \mathrm{C} \) at 08:00 and increased C avery hour untll 12:00. What will the temperature bo at \( 11: 30 \) ?

To solve the problem, we need to determine the temperature in Austria at 11:30 AM, given that it started at \(-5^{\circ} \mathrm{C}\) at 08:00 AM and increased every hour until 12:00 PM. ### Step 1: Determine the time interval From 08:00 to 12:00, there are 4 hours (08:00 to 09:00, 09:00 to 10:00, 10:00 to 11:00, and 11:00 to 12:00). ### Step 2: Calculate the temperature increase Let’s denote the temperature increase per hour as \( x \). The temperature at 12:00 PM will be: \[ T_{12:00} = -5 + 4x \] ### Step 3: Find the temperature at 11:30 AM At 11:30 AM, which is halfway between 11:00 AM and 12:00 PM, the temperature will be: \[ T_{11:30} = T_{11:00} + 0.5x \] To find \( T_{11:00} \), we can express it as: \[ T_{11:00} = -5 + 3x \] Thus, we can write: \[ T_{11:30} = (-5 + 3x) + 0.5x = -5 + 3.5x \] ### Step 4: Determine the temperature at 12:00 PM Since we don't have the exact value of \( x \) (the hourly increase), we can express the temperature at 11:30 AM in terms of \( x \): \[ T_{11:30} = -5 + 3.5x \] ### Conclusion To find the exact temperature at 11:30 AM, we need the value of \( x \). If we assume a specific increase per hour, we can substitute that value into the equation. However, without that information, we can only express the temperature at 11:30 AM as: \[ T_{11:30} = -5 + 3.5x \] If you have a specific value for the hourly increase, please provide it, and I can calculate the exact temperature.