Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the first year, how much growth will it have in 20 years?

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The required growth of the tree after 20 years is 3, 813 meters.Here,

Given that,
Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the first year.
To determine how much growth will it have in 20 years.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

The tree grows vertically 14/15 as much as it did the year before.
= 1.5 * 14 / 15

= 1.5 * 0.94
= 1.41
Total growth after 1 year = 1.5 + 1.41
                                        = 2.91
Percentage growth = 1.41 / 2.91 = 0.48%

Now,
Growth after 20 years,

= 1.5 (1 + 0.48)^20
= 1.5(1.48)^20
= 3,813.51

Thus, the required growth of the tree after 20 years is 3, 813 meters.

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