A certain colony of bacteria triples in length every 10min. Its length is now 1 millimeter. how long will it be in 40min?

(show work please! and in a 6th grader form)



Answer :

Bacteria length = 1mm

It will triple four times by 40 min.

This can be shown as 3 to the power of 4; 3⁴ = 81

Original length * growth factor = final length

1 mm * 81 = final length

81 = final length

After 40 mins, the bacteria colony will be 81 mm in length.


Think of it this way. Every ten minutes, its length is multiplied by 3.

After 10 minutes, it will be 3 ml long.
After 20 minutes, it will be 9 ml long.
After 30 minutes, it will be 27 ml long.
After 40 minutes, it will be 81ml long.

In other words, 1x3x3x3x3=81