The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 6 days. (Round your answer to the nearest whole number.)

Solution :

Given initial population = 300

Final population after 1 day = 800

Number of days = 6

∴

P(0) = 300    P(1) = 300

We need to find P(8).

When P(0) = 300

∴ c = 300

∴

When P(1) = 800

∴ k = 750

So, P(8) is

        = 11,614

So the population becomes 11,614 after 8 days.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.