A bacteria culture starts with `100` bacteria and grows at a rate
proportional to its size. After `2` hours there will be `200` bacteria.
(a) Express the population `P` after `t` hours as a function of `t`. Be sure to keep at least 4 significant figures on the growth rate.
`P(t)`=
(b) What will be the population after 7 hours?
bacteria
(c) How long will it take for the population to reach 1570? Give your answer accurate to at least 2 decimal places.
hours
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity