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To find the unit rate of height per day, we can examine how the height changes in relation to the number of days.
The initial height is 1 when there are 5 days. The final height is 6 when there are 30 days.
The change in height is 6 - 1 = 5 units.
The change in days is 30 - 5 = 25 days.
Therefore, the unit rate of height per day is 5 units / 25 days = 0.2 units/day.