The initial count of bacteria is x and it becomes y times everyday. The total count of bacteria after one week is
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Which of the following represents the given statement.
The initial count of bacteria is x and it becomes y times every day. The total count of bacteria after one week is?
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Correct option is D)
Given,
The number of bacteria initially = Number of bacteria on the first day.
= x
The number of bacteria on the second day = xy.
The number of bacteria on the third day = xy×y
= xy
2
.
Similarly,
The number of bacteria on 4
th
,5
th
,6
th
and 7
th
days will be xy
3
,xy
4
,xy
5
and xy
6
respectively.
∴ The number of bacteria at the end of the 7 th day or a week = xy
6
.