The population of a town is growing according to the differential equation (dy)/(dt)=ky The growth constant, k, is equal to 0.13 year ^-1. The size of the population at the start of the year 2000 was 5 thousand.
Since the population is growing exponentially, the population in year t is given by y=5 e^(0.13 t)

Here, y is measured in thousands and t is measured in years since 2000.

What is the population of the town at the start of the year 2007?

How many years does it take for the population to double?

What will be the size of the population after three doubling times have passed? (That is, after three times the correct answer to part b have passed?)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

sup

step-by-step explanation:

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation:

step-by-step explanation: