Answer:
the growth of bacteria after 19 days = 381
Explanation:
population of bacteria at the beginning = 80
population in 13 days grows to = 216
rate of growth = 216 - 80 = 136
growth of population after 19 days = ?
A = A₀ e ⁽r ⁻ t⁾ where:
A₀ = initial amount = 80
r = rate of growth = 136
t = time in days = 19
e = natural log
thus,
by substituting the values in the formula:
A = 80 * e ⁽¹³⁶ ⁻ ¹⁹⁾
= 80 * e ⁽¹¹⁷⁾
= 80 * 4.76
= 380.8 = 381
thus,
the growth of bacteria after 19 days = 381