Anon-food crop is infected by pests on the 1st of a month. the pests infect the crop in such a way that the area infected doubles after each month. if the pests continue to infect the crop in this way, the non-food crop will be entirely infected after the sixth month. after which month will one-eighth of the non-food crop be infected? one-eighth of the non-food crop will be infected after the second month. one-eighth of the non-food crop will be infected after the fifth month. one-eighth of the non-food crop will be infected after the third month. one-eighth of the non-food crop will be infected after the fourth month.

One-eighth of the non-food crop will be infected after the third month.

Step-by-step explanation:

Given : A non-food crop is infected by pests on the 1st of a month. The pests infect the crop in such a way that the area infected doubles after each month.

To Find:  After which month will one-eighth of the non-food crop be infected?

Solution:

Equation :  --A

Where y is the amount after x months

is the initial amount

After six months the non-food crop will be entirely infected.

Now we are supposed to find After which month will one-eighth of the non-food crop be infected i.e.  --B

On comparing A and B

So, x-6 = -3

x = 3

Hence One-eighth of the non-food crop will be infected after the third month.