Turner Perkins
01/04/2024 · Middle School
A tree was planted. Exactly 3 years after it was planted, the height of the tree was 2 m . Given that the height, \( H \) metres, of the tree, \( t \) years after it was planted, can be modelled by the equation where \( p \) and \( q \) are constants, (a) find, to 3 significant figures where necessary, the value of \( p \) and the value of \( q \). Exactly \( T \) years after the tree was planted, its height was 5 m . (b) Find the value of \( T \) according to the model, giving your answer to one decimal place.
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(a) \( p = \frac{2}{3} \) (approximately 0.667), \( q = 1 \)
(b) \( T = 7.5 \)
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