Question

Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread covered by mold

Answer 1

The bread was half covered by mold on the seventh day since, under exponential growth, the mold doubles in size each day and covers the entire bread by the eighth day.

Step-by-step explanation:

The concept described in the student's question is related to exponential growth, a mathematical principle often observed in biological processes such as the growth of mold on bread. To determine when half the bread was covered by mold, we consider the pattern of doubling growth.

If the mold covers the entire bread on the eighth day, and it doubles in size every day, this means on the seventh day, the bread was half-covered. This is because on each day, the mold's coverage is twice what it was the day before. So, working backwards from the eighth day, when the entire bread is covered, we can deduce that half the bread was covered on the day before. Therefore, half the bread was covered by mold on the seventh day.

Answer 2

The mold will cover half the area as much are one day before it.

Step-by-step explanation:

Given:

Every day the mold on bread grows doubles

And by 8th day entire bread covered with it.

To Find:

When was half the bread covered by mold.

Solution:

It is said that area covered by mold doubles on each day

Total days taken to cover entire bread are 8

Let Area of bread be A

So Area covered (A) corresponds to 8 days with doubling.

So on previous day it should What ever area on 8th day/2

i.e A(8)/2

Similar on 6th day A(7)/2

So on 5ht day =A(6)/2 ,4th= A(5)/2, on 3rd= A(4)/2, on 2nd=A(3)/2

On 1st =A(2)/2

So we required Area= half of total.

One day before the 8th day will be 7th day

on that day it will cover half are so that on next day will cover the double of the previous area consumed.