Question

Почему пруд зарастает лилиями за неделю,причём площадь покрытая лилиями удваивается.За сколько недель пруд зарастёт на четверть если он полностью зарастает за 8 недель.Пожалуйста,помогите,умоляю.С объяснением и с разными вариантами ответа

Answer 1

1)Пруд покрылся лилиями наполовину за 7 недель.
т.к. количество лилий удваивается каждую неделю, и он полностью покрылся лилиями на 8 неделю, то на 7 неделе он был покрыт лилиями на половину.

2)Если каждую неделю площадь, покрытая лилиями удваивается, то пруд покрылся лилиями наполовину через 7 недель, так как половина пруда, умноженная на 2, это уже весь пруд.

Answer 2

Why does the pond become overgrown with lilies in a week, with the area covered by lilies doubling? How many weeks will it take for the pond to become one-quarter overgrown if it becomes completely overgrown in 8 weeks?

The rapid growth of lilies in a pond can be attributed to their reproductive capabilities and favorable environmental conditions. Lilies are aquatic plants that reproduce through seeds and vegetative propagation. They have the ability to spread quickly and cover large areas under suitable conditions.

Possible Explanation 1: Rapid Reproduction One possible explanation for the rapid growth of lilies in the pond is their ability to reproduce rapidly. Lilies produce numerous seeds that can germinate and grow into new plants. Additionally, lilies can also reproduce vegetatively through rhizomes, which are underground stems that produce new shoots and roots. This vegetative propagation allows lilies to spread and cover larger areas in a relatively short period of time.

Possible Explanation 2: Favorable Environmental Conditions Another factor contributing to the rapid growth of lilies in the pond is the presence of favorable environmental conditions. Lilies thrive in environments with abundant sunlight, nutrient-rich water, and suitable water temperatures. If these conditions are met, lilies can grow rapidly and cover larger areas in a short period of time.

To answer the second part of your question, let's assume that the pond becomes completely overgrown with lilies in 8 weeks. If the area covered by lilies doubles each week, we can calculate how many weeks it will take for the pond to become one-quarter overgrown.

In the first week, the area covered by lilies doubles, so it becomes 2 times the initial area. In the second week, the area covered by lilies doubles again, so it becomes 4 times the initial area. In the third week, the area covered by lilies doubles once more, so it becomes 8 times the initial area.

Based on this pattern, we can see that the area covered by lilies increases exponentially. To find out how many weeks it will take for the pond to become one-quarter overgrown, we need to find the number of weeks it takes for the area covered by lilies to reach 1/4 of the total pond area.

Let's assume the initial area of the pond is represented by "A". After 8 weeks, the area covered by lilies will be 8 times the initial area, which is 8A. To find the number of weeks it takes for the pond to become one-quarter overgrown, we need to solve the equation:

(1/4) * A = 8A

Simplifying the equation, we get:

1/4 = 8

This equation is not possible to solve, as it leads to a contradiction. Therefore, it is not possible for the pond to become one-quarter overgrown if it becomes completely overgrown in 8 weeks.

Please note that the above explanation and calculation are based on assumptions and general knowledge about lily growth. The actual growth rate and time required for a pond to become overgrown with lilies may vary depending on various factors such as the specific species of lilies, environmental conditions, and other factors unique to the pond in question.