Question

PLEASE HELP ME!!!!!!!!!!!!!!!!!!! ASAP :)

Answer 1

c) The growth factor per days is 1.08

e) The growth factor per hour is 1.08^{1/24}

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

`P(d) = 10 * 1.08^(d)` ......equation 1

Substituting into the formula, we have;

`P(1) = 10 * 1.08^(1)`

`P(1) = 10 * 1.08`

`P(1) = 10.08`

Therefore, option (a) and (b) are incorrect.

c. To find the growth factor per day;

An exponential function is given by the formula;

`y = mg^(x)` .....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;

`P(1) = 10 * 1.08^{\frac {1}{2}}`

Therefore, option e is correct.