Section 6.6 1 - Round to the nearest hundred thousand

Question

Under certain​ conditions, the number of bacteria present in a colony is approximated by f(t)=A0e0.026t​,

where t is in minutes. If A0=2,600,000​, find the number of bacteria present at 5​ minutes, 10​ minutes, and 60 minutes.

After 5 minutes there are ____ bacteria.

Answer 1

I assume the function is actually A0 * e^0.026t. If so, we get the number of bacteria present at time simply by plugging t in minutes into the function; then round to the nearest hundred thousand.

If A0=2,600,000​ and t=5, there are 3,000,000 bacteria (2,960,954 rounded up).

If t=10, there are 3,400,000.

If t=60, there are 12,400,000.

Answer 2

f(t) = 2,600,000e^.026t

f(5) = 2,600,000e^.026(5)