Toxic Pollution: In the first year of a study, health officials discovered toxic

Question

Toxic Pollution: In the first year of a study, health officials discovered toxic pollutants in the soil surrounding a factory. The initial measurement was 65 parts per million (ppm) of pollutant. They returned to take similar measurements for several years afterward, and uncovered a disturbing trend. The pollutant levels in the soil surrounding the factory were growing exponentially, at a rate of 4.5% each year. Which exponential model predicts the amount of pollutant in the soil t years from the first measurement?

Explanation / Answer

Given,

Initial measurement = 65 parts per million

r = 4.5% = 0.045

Hence,

The exponential model which predicts the amount of pollutant in the soil t years from the first measurement

= 65*e0.045t

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