Answer:
c) The growth factor per days is 1.08
e) The growth factor per hour is 1.08^{1/24}
Step-by-step explanation:
Given the following data;
P(d) = 10 * 1.08^{d} in thousands.
a. To find the number of insects on day 1;
Day, d = 1
[tex] P(d) = 10 * 1.08^{d} [/tex] ......equation 1
Substituting into the formula, we have;
[tex] P(1) = 10 * 1.08^{1} [/tex]
[tex] P(1) = 10 * 1.08 [/tex]
[tex] P(1) = 10.08 [/tex]
Therefore, option (a) and (b) are incorrect.
c. To find the growth factor per day;
An exponential function is given by the formula;
[tex] y = mg^{x} [/tex] .....equation 2
Where;
g is the growth factor of a population.
Comparing eqn 2 with eqn 1;
g = 1.08
Therefore, option (c) is correct.
e. To find growth factor per hour;
From equation 1 above;
[tex] P(1) = 10 * 1.08^{\frac {1}{2}} [/tex]
Therefore, option e is correct.
