Question

Select the correct answer from each drop-down menu.

Answer 1

Answer:

Initial pop. = 1.8 (hundreds) = 180, 1 year, 1.2

Step-by-step explanation:

The initial population is at time t = 0.  Put 0 in for t to get $f(0)=1.8(2.1)^0=1.8(1)=1.8$ (measured in hundreds) so this population is 1.8(100) = 180

The time t is in years, so increasing t by 1 increases it by 1 year.

As t increases by 1, the factor that changes is 1.2 .  For example,

At t = 2, the population is $1.8(1.2)^2$

At t = 3, the population is $1.8(2.1)^3$

There is just one more factor of 2.1, so the population in year 3 is 2.1 times the population in year 2.