The average temperature of the planet is expected to rise at an average rate of 0.04 degrees Celsius per year due to global warming. The average temperature in the year 2000 was 14.71 degrees Celsius. The average Celsius temperature, C, is given by C=14.71+0.04x, where x represents the number of years since 2000. (a) What will be the average temperature in the year 2100? (b) Algebraically determine the number of years, x, it will take for the temperature, C, to reach 20 degrees Celsius. Round to the nearest year. (c) Sketch a graph of the average yearly temperature below for the interval 0 ≤ x ≤ 200. Be sure to label your y-axis scale as well as two points on the line (the y-intercept and one additional point). (d) What does this model project to be the average global temperature in 2200?