Question

When a bush was first planted in a​ garden, it was 50 cm tall. After two​ months, it was ​700% as tall as when it was first planted. What was the height of the bush after the two months?

Answer 1

The height of the bush after two months was 350 cm.

Step-by-step explanation:

In the initial stage, the bush was 50 cm tall. After two months, it grew to 700% of its original height. To calculate the final height, we multiply the original height by 700% or 7 (since 700% is equivalent to multiplying by 7).

`\[ \text{Final Height} = \text{Original Height} * 7 \]`

Substituting the given initial height of 50 cm into the formula:

`\[ \text{Final Height} = 50 \, \text{cm} * 7 = 350 \, \text{cm} \]`

Therefore, the height of the bush after two months is 350 cm.

In the context of percentage growth, when we say the bush is 700% as tall as when it was first planted, we are expressing a factor of growth. This factor is obtained by adding 100% to the percentage increase, converting it to a decimal (in this case, 700% becomes 7), and then multiplying it by the original amount. The 350 cm final height represents a growth of 7 times the original height, resulting in a comprehensive understanding of the bush's growth over the two-month period.