Final answer:
The relationship between the average temperature on New Year's Day (A) and the temperature on New Year's Day 2012 (T) is given by the formula T = A - 9.8. For an average of 5.7 degrees Celsius, the temperature on New Year's Day 2012 would be -4.1 degrees Celsius (which is 9.8 degrees below the average).
Step-by-step explanation:
If A represents the average temperature on New Year's Day, and T represents the temperature on New Year's Day 2012, we can formulate a relationship between these two variables based on the information given. We are told that the temperature on New Year's Day 2012 was 9.8 degrees below the average. The average temperature on New Year's Day is given as 5.7 degrees Celsius. Thus, the formula to determine the temperature T on New Year's Day 2012 would be:
T = A - 9.8
Since A is 5.7 degrees Celsius, we plug that into the formula:
T = 5.7 - 9.8
This calculation will give us:
T = -4.1
Therefore, the temperature on New Year's Day 2012 was -4.1 degrees Celsius, which is 9.8 degrees below the average temperature.