Answer:
(C) 255879
Step-by-step explanation:
The bacteria culture begins with 13 bacteria which triples in amount at end of an hour, therefore, the amount of bacteria grown at end of one hour= 13×3=39,
The amount of bacteria grown at end of two hour= 39×3=117,
The amount of bacteria grown at end of third hour=117×3=351,
The amount of bacteria grown at end of fourth hour=351×3=1053,
The amount of bacteria grown at end of fifth hour=1053×3=3159,
The amount of bacteria grown at end of sixth hour=3159×3=9477,
The amount of bacteria grown at end of seventh hour=9477×3=28431.
The amount of bacteria grown at end of eighth hour=28431×3=85293,
The amount of bacteria grown at end of ninth hour=85293×3=255879, since the bacteria grown in starting hour will be 13 only, therefore the bacteria grown during 10th hour will be 255879.
There are 255879 bacteria are grown during the 10th hour.
Given
A bacteria culture begins with 13 bacteria which triple in the amount at the end of every hour.
To find the number of bacteria multiplied by the number of hours.
The number of bacteria grown at end of one hour is 13.
The number of bacteria grown at end of two hours is;
= 13 × 3 = 39
The number of bacteria grown at end of three hours is;
= 39 × 3 = 117
The number of bacteria grown at end of four hours is;
= 117 × 3 = 351
The number of bacteria grown at end of the fifth hour is;
= 351 × 3 = 1053
The number of bacteria grown at end of the sixth hour is;
1053 × 3 = 3159
The number of bacteria grown at end of the seventh hour is;
3159 × 3 = 9477
The number of bacteria grown at end of the eighth hour is;
9477 × 3 = 28431
The number of bacteria grown at end of the ninth hour is;
28431 × 3 = 85293
The number of bacteria grown at end of the tenth hour is;
85293 × 3 = 255879
Hence, there are 255879 bacteria are grown during the 10th hour.
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