A deadly virus runs through the beetles in big city. If there are 1280 beetles in the city and every week 20% of them die, how many beetles remain after 6 weeks?

Step-by-step explanation:

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Answer: 336 beetles remain after 6 weeks.

Step-by-step explanation:

If there are 1280 beetles in the city and every week 20% of them die, then the rate is exponential. The formula for determining the number of beetles left in the city after t weeks would be

A = P (1 - r/n) ^nt

Where

A represents the number of beetles left after t years.

P represents the initial number of beetles

r represents the death rate of the beetles.

n represents the periodic record of the death.

t represents the number of weeks.

From the information given,

P = 1280

r = 20/100 = 0.2

n = 1 (recorded weekly)

t = 6 weeks

Therefore,

A = 1280 (1 - 0.2/1) ^1 * 6

A = 1280 (0.8) ^6

A = 336