A Tesla model X has a rated range of 333 miles/535.912 km on a 100% battery and optimum air pressure of 220.632 kPa in all four tires at a rated temperature of 25C. However, during winter, a Tesla owner in Urbana, IL (avg. temperature -5C) wants the same range on a 100% battery. Considering all other systems, batteries, road conditions, and heater do not change with the temperature. However, the density of air in the tires experiences a change due to the temperature difference. State your assumptions clearly. (Hint: gases contract with the decrease in temperature although the volume of tires do not change which is about 0.04 m) You could utilize the property values given in previous problems a) Explain in words what must driver do in order to get the rated range of miles? (5 points) b) Show the reasoning for your answer in part a) in mathematical form. (10 points)