Final answer:
The average temperature in the year 2100, according to the linear model C = 14.71 + 0.04x, will be 18.71°C, which is obtained by using the value x=100, representing 100 years from the year 2000 to 2100.
Step-by-step explanation:
The given equation is C = 14.71 + 0.04x, which is presumably a linear model to predict average temperature increase (in °C) based on the year. The variable 'x' likely represents the number of years since a baseline year. To find the average temperature in the year 2100, we must determine the correct value of 'x'.
Assuming the baseline is the year 2000, as is common in climate projection models, the year 2100 would be 100 years after 2000, making 'x' equal to 100. Therefore, option A is the correct calculation: C = 14.71 + 0.04 * 100. This would predict the average temperature in 2100 to be 14.71 + 4 = 18.71°C.