Answer:
B. [tex]T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}[/tex]
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
[tex]T(x) = C(x)\cdot P(x)[/tex] (1)
If we know that [tex]C(x) = 2.9\cdot (1.05)^{x}[/tex] and [tex]P(x) = (1.05)^{3\cdot x + 5}[/tex], then the formula for the approximate population in the region is:
[tex]T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}][/tex]
[tex]T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}[/tex]
Hence, correct answer is B.
