The number of bacteria in a culture grew from 275 to 1135 in three hours. How do you find the number of bacteria after 7 hours and Use the exponential growth model: A=A0ert?
Answers
Answered by
0
Answer:
4192346 bacteria.
Step-by-step explanation:
From the question the population is increasing.
Given the formula below we have :
A = A0e^rt
A = The number of bacteria after time t.
A0 = The initial number of bacteria.
r = the rate of growth
Given A, A0 and t we can get r.
A = 1135
A0 = 275
t = 3
1135 = 275e^3r
1135/275 = e^3r
4.12727 = e^3r
Taking ln on both sides.
4.1272 = 3r
r = 4.1272/3 = 1.376
Given Ao = 275, r = 1.376, t = 7 we can get A at time 7.
A = 275 × e^(7 × 1.376)
A = 4192346.243 bacteria.
Similar questions