A colony contains 1000 Bacteria. The population increases at a rate of 115% each hour. If X represents the number of hours elapsed, write a function that represents this scenario.

b(x) = 1,000 * 2.15^x

Step-by-step explanation:

1,000 represents the intial colony size. An increase of 115% correlates to multiplying the said size by 2.15 to the power of the hours elapsed.

Common error: The factor is 2.15 and not 1.15 as an increase of 100% is doubling the amount. i.e. if the increase was 15%, we would multiply by 1.15.