8. (10 points) An empirical study suggests that a winery's weekly sales of wine slushies are determined by the average air temperature given that the price of wine slushies, consumer income, size of the population, and most other variables are constant in the short run. This functional relationship is estimated as = 150 + 3^0.5 is the gallons of wine slushies sold per week and is the mean average air temperature in degrees Fahrenheit. a. Calculate the mathematical inverse of this function? b. Does it make sense to specify such an inverse function in economics? Explain your reasoning.