exam Maths Puzzle Numerical Ability

Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.

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A bus leaves a station at 1 PM,traveling west at an average rate of 44mi/hour. One hour later a second bus leaves the station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 miles apart?
1 + cos 2x + sin 2x/1 + cos 2x + sin 2x = tan x

Can some one solve this please.