Given the distance function d(t) = 0.8t^2, we must derive the formula to get the formula for velocity. The first derivative of a distance function gives the velocity because it shows how the variable (distance) changes over a another variable which is usually time. Following the same line of thought, the second derivative gives the acceleration.
dt = 2(0.8)t = 1.6t = 1.6(10) - 1.6(5) = 8 m/s
The number of bacterial population after 5 hours is; 816
- The formula for the exponential growth of the population is;
N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
N_o = 480
r = 11.2% = 0.112
t = 5
N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
- Approximating to a whole number gives; N(5) = 816 bacteria
Read more about exponential growth at; brainly.com/question/15316908
