A science geek brews tea at 195 F, and observes that the temperature T(t) of the tea after t minutes is changing at the rate of T(t)=7e^0.03t F/min.

A science geek brews tea at 195 ∘∘F, and observes that the temperature T(t) of the tea after t minutes is changing at the rate of T′(t)=−7e^−0.03t F/min. What is the average temperature of the tea during the first 17 minutes after being brewed? Round your answer to the nearest hundredth of a degree.

Please explain each step