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Mariana [72]
3 years ago
12

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

Mathematics
1 answer:
N76 [4]3 years ago
3 0

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.

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