The height of a tree increased by 12%12% from 2022 to 2023. If the 2023 height is b𝑏 times the 2022 height, what is the value of b𝑏?
Question
The height of a tree increased by 12% from 2022 to 2023. If the 2023 height is b times the 2022 height, what is the value of b?
Solution
The height of the tree increased by 12% from 2022 to 2023. This means that the height of the tree in 2023 is 100% of the 2022 height (which is the original height) plus an additional 12%.
In terms of a decimal, 100% is equivalent to 1 and 12% is equivalent to 0.12.
Therefore, the 2023 height is 1 (the original height) plus 0.12 (the increase), which equals 1.12.
So, the 2023 height is 1.12 times the 2022 height. Therefore, the value of b is 1.12.
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