Question

СРОЧНО, 9 класс, с СПОЛЬЗОВАНИЕМ ОПЕРАТОРА Writeln Лягушка съедает ежедневно на 20% комаров больше, чем предыдущий день и еще два комара. Через сколько дней она съест больше 100 комаров за день, если в первый день было съедено 15 комаров

Answer 1

Var k,n:integer;
begin
k:=15;
n:=1;
while k<=100 do
 begin
 k:=round(k*1.20)+2;
 n:=n+1;
 end;
writeln('n = ',n);
end.

Результат:
n = 10

Answer 2

Problem Analysis

We are given that a frog eats 20% more mosquitoes each day than the previous day, plus an additional two mosquitoes. We need to determine how many days it will take for the frog to eat more than 100 mosquitoes in a day, given that on the first day it ate 15 mosquitoes.

Solution

To solve this problem, we can use a loop to simulate the frog's daily mosquito consumption until it exceeds 100 mosquitoes in a day. We will keep track of the number of mosquitoes eaten each day and increment the day count until the condition is met.

Here's the code to solve the problem:

program
var mosquitoesEaten = 15
var dayCount = 1

while mosquitoesEaten <= 100 do
    mosquitoesEaten = mosquitoesEaten + (mosquitoesEaten * 0.2) + 2
    dayCount = dayCount + 1
end

writeln("The frog will eat more than 100 mosquitoes in a day after ", dayCount, " days.")

Running this code will output the number of days it takes for the frog to eat more than 100 mosquitoes in a day.

Note: The code provided above is written in a pseudocode-like syntax. The actual implementation may vary depending on the programming language used.

Answer

The frog will eat more than 100 mosquitoes in a day after 6 days.

Explanation

Starting from the first day when the frog ate 15 mosquitoes, we can calculate the number of mosquitoes eaten each day using the given formula: the previous day's mosquitoes eaten plus 20% of the previous day's mosquitoes eaten, plus 2 additional mosquitoes.

Here's a breakdown of the calculations for each day:

- Day 1: 15 mosquitoes eaten - Day 2: 15 + (15 * 0.2) + 2 = 20 mosquitoes eaten - Day 3: 20 + (20 * 0.2) + 2 = 26 mosquitoes eaten - Day 4: 26 + (26 * 0.2) + 2 = 34 mosquitoes eaten - Day 5: 34 + (34 * 0.2) + 2 = 44 mosquitoes eaten - Day 6: 44 + (44 * 0.2) + 2 = 58 mosquitoes eaten

On the 6th day, the frog will eat more than 100 mosquitoes in a day, specifically 58 mosquitoes. Therefore, it will take 6 days for the frog to eat more than 100 mosquitoes in a day.