The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are after 1 day, what is the size of the colony after 1900 days

Step 1

Given:

The initial number of mosquitoes is 1000. That is, P0 = 1000.

The numbr of  mosquitoes is 1600 after one day.

Step 2

Known fact:

The exponential population of growth is P = P0ert

Where P0  is the initial population , r is the rate of change and t is the number of days.

Step 3

Calculation:

Compute the value of r.

Substitute P0 = 1000, P = 1600 and t = 1.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.