Question

The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per city is represented but the function P(x)=(1.05)^3x+5
Which Function best describes T(x), the approximate population in the region?

HELP!!! PLS

Answer 1

Answer:

B. $T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}$

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:

$T(x) = C(x)\cdot P(x)$ (1)

If we know that $C(x) = 2.9\cdot (1.05)^{x}$ and $P(x) = (1.05)^{3\cdot x + 5}$, then the formula for the approximate population in the region is:

$T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]$

$T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}$

Hence, correct answer is B.