The fox population in a certain region has a relative growth rate of 4% per year. it is estimated that the population in year 2000 was 17900.(a.) find a function that models the population t years after 2000 (t=0 for 2000) and (b.) use the function from part a to estimate the fox population in the year > answer must be an integer.

a)

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

In which P(t) is the population after t years, is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

. So

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

The population estimated in 2008 is of 24651.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>