n environmental study in a community shows that the level of a certain pollutant in the air is L(P)=sqrt(P) parts per million (ppm), where P is the population in heads, and the population of the community is P(t)=70t^2+200, where t is years (yr) after  2000. A) the population in 2010 was ___ people.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 25E
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An environmental study in a community shows that the level of a certain pollutant in the air is L(P)=sqrt(P) parts per million (ppm), where P is the population in heads, and the population of the community is P(t)=70t^2+200, where t is years (yr) after  2000.

A) the population in 2010 was ___ people.

Expert Solution
Step 1

We have ,

               L(p)=p ppm

               P(t)=70t2+200

                when t= 2010-2000=10 years

        P(10)=70×102+200

                 =7200

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