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. 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?

A. One-eighth of the non-food crop will be infected after the fifth month.
B. One-eighth of the non-food crop will be infected after the third month.
C. One-eighth of the non-food crop will be infected after the fourth month.
D. One-eighth of the non-food crop will be infected after the second month.

Respuesta :

Answer: C - the fourth month


Step-by-step explanation: If it doubles every month, then at 6 months there should be 32 times the original affected area. 1/8 of 32 is 4.