Problema Solution

During the summer in a large West Coast City, the pollution index increased in an approximately linear fashion from 8A.M. to around 4 P.M. On an average summer day the reading at 10 P.M. is around 43.0 parts per million and at 1 P.M., 80.5 ppm. Write an equation to express the pollution index in terms of the hours since 8 A.M. What are the units associated with the slope?

Answer provided by our tutors

the pollution index increased in an approximately linear fashion

pollutions are p1=43.0 and p2=80.5 and hours are h1=2 and h2=5 so equation in terms of hours is following

(p2-p1)/(p-p1)=(h2-h1)/(h-h1)

(37.5)/(p-43)=(3)/(h-2)

p=12.5h+18