A function that models the population (in thousands) of children under the age of 18 in a certain town, t years after 2010 is C(t)=0.0013t²-0.163t+15.82 . A function that models the population (in thousands) of adults aged 18 or over of the same town, t years after 2010 is A(t)=0.0063t²-0.217t+25.08 . Find the equation of a function that models the estimated population of the town t years after 2010 . A) P(t)=0.0076t²-0.054t+40.9 B) P(t)=0.0076t²-0.38t+40.9 C) P(t)=0.0063t²+0.0013t+40.52 D) P(t)=0.0076t²-0.38t+9.26

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Quizplus · Accepted Answer

The total population function P(t) is the sum of C(t) and A(t), which results in P(t) = (0.0013 + 0.0063)t^2 + (-0.163 - 0.217)t + (15.82 + 25.08) = 0.0076t^2 - 0.38t + 40.9.

A Function That Models the Population (In Thousands) of Children