Photochemical Smog Ozone Model

Question

During photochemical smog formation, the ozone concentration is modeled by the function $$g(t) = 20*(1-e^{-0.3*(t-9)})$$ for $$t \ge 9$$ (with time in hours, starting at 9 A.M.). All of the following statements are true except:

Accepted Answer

At 9 A.M., the ozone concentration is 20 ppb.

Answer

At 12 P.M., the ozone concentration is given by $$20*(1-e^{-0.3*3})$$ ppb.

Answer

As time increases, $$g(t)$$ asymptotically approaches 20 ppb.

Answer

The function represents exponential growth from an initial concentration of 0 ppb, leveling off toward an asymptote of 20 ppb.