Question

The population of a species in the wild in Asia has been

decreasing exponentially since 1980. This function represents
the wild population of the species t years after 1980:
W(t) = 20000(0. 95)^t.


The Wildlife Refuge Foundation noticed this trend before 1980
and decided to try to help reduce the population decline by
breeding the species in captivity. The graph shows the number
of these animals that have been born in captivity since 1980.
The captivity function is f(x)=20t.

9. [15 points] Assuming that the species has a long life span and that all those born in captivity are still
alive today, create a function P(t), to represent the total number of the species that are alive, both in
the wild and in captivity.

Answer 1

the answer is c (t) = 20 t

Explanation:

The graph of C(t) appears to be linear

The y intercept is 0

The slope is 200/10 = 20

y = mx+b where m is the slope and b is the y intercept

y = 20x+0

y = 20x

C(t) = 20t