Question

Environmentalists estimate an annual population decrease of giraffes in the wild of 3.5% due to development. This can be modeled by the function p(x) = 140,000(0.965)^x, where x is the number of years of tracking the populations. Conservationists have developed a sanctuary that has shown the ability to increase the population by 0.85% per year. The increase can be modeled by the function S(p) = p(1.0085)^x.
Which function represents S(p(x)), rounded to the nearest ten thousandth?

A. S(p(x)) = 135,100(0.9732)^x

B. S(p(x)) = 135,100(1.9735)^x

C. S(p(x)) = 140,000(0.9732)^x

D. S(p(x)) = 140,000(1.9735)^x

Answer 1

Answer:

S(p(x)) = 140,000(0.9732)^x

Step-by-step explanation:

Given the population functions:

ENVIRONMENTALIST: decline by 3.5% annually

p(x) = 140,000(0.965)^x

CONSERVATIONISTS: Increase by 0.85% annually ;

S(p) = p(1.0085)^x

Formulate S(p(x)) rounded to the nearest ten thousand

p(x) = 140,000(0.965)^x

S(p) = p(1.0085)^x

S(p(x)) = p(1.0085)^x

Where p(x) = 140,000(0.965)^x

S(p(x)) = 140,000(0.965)^x(1.0085)^x

S(p(x)) = 140,000(0.9732025)^x

S(p(x)) = 140,000(0.9732)^x