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Part B: Exponential Functions [40 marks] Match each equation with its graph below. [4] Given the base function of

`y=29^(x)`

, write equation of the transformed function given it is stretched horizontally by factor 3 , stretched vertically by factor 9 , and shifted right 2 units. [2] The temperature of Mrs. Behnke's tea, cooling over time, can be modelled by the exponential function

`T(x)=90((1)/(2))^((x)/(32))`

, where

`T(x)`

is the temperature, in degrees Celsius, and

`x`

is the elapsed time, in minutes. a. Determine the temperature of Mrs. Behnke's tea after 25 minutes, to the nearest tenth of a degree. [2]