The amount of natural gas consumed by homes and offices varies with the season, with the highest consumption occuring in the winter months. The gas consumed(G), will be825cubic feet when the temperature(T), is34degrees Fahrenheit. When the temperature is67degrees Fahrenheit, the gas consumed will be409cubic feet.

1. Express the gas consumed as a linear function of the temperature. Use functional notation with the variables in the problem. Round your values to two decimal places.
2. Interpret the slope in the context of the problem.