To solve this, we need to determine how many hours have passed from 6:00 a.m. to 2:00 p.m. and use the rate of temperature increase (2°F per hour) to find the temperature.

Step-by-step:

1. Time Difference:
   From 6:00 a.m. to 2:00 p.m. is 8 hours.

2. Rate of Temperature Increase:
   The temperature increases by 2°F every hour.

3. Total Increase in Temperature:
   Over the 8 hours, the total increase in temperature is: $8 \text{ hours} \times 2^\circ \text{F per hour} = 16^\circ \text{F}$

So, the temperature at 2:00 p.m. will be 16°F higher than it was at 6:00 a.m.

If you know the temperature at 6:00 a.m., you can add 16°F to that value to get the temperature at 2:00 p.m.

Would you like to provide the initial temperature at 6:00 a.m. so we can calculate the final value, or do you have any other questions?

5 Related Questions:

1. If the temperature increases by 3°F every hour, what would it be at 2:00 p.m.?
2. How would the temperature change if it decreased by 2°F per hour?
3. What would be the temperature at 4:00 p.m. following the same rate of increase?
4. If the temperature was 60°F at 6:00 a.m., what would it be at 2:00 p.m.?
5. How long would it take for the temperature to rise by 30°F at the same rate?

Tip:

Always check the units of measurement (e.g., time and temperature) to ensure consistent and accurate calculations.