Algebra 2, help

Question

At the beginning of an experiment, there are 1000 bacteria triples every day, how many bacteria will be in culture after 4 days?

Answer 1

If the bacteria triples every day, then each day has 3 times the amount of bacteria as the day before.

So after the first day, there will be 3*1000 = 3000

After the second, there will be 3*(3*1000) = 9000

After the third, 3*(3*(3*1000)) = 27,000

And then after the fourth, 3*(3*(3*(3*1000))) = 81,000

As a general formula, each day we multiply by 3, and repeated multiplication is exponentiation, so after t days, there will be 3^t*1000 bacteria.