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Evaluating Pollution Reduction Models
A city is evaluating two different five-year plans to reduce the total concentration of a specific air pollutant. Both plans begin from the same initial pollution level. The expected reduction in the pollutant concentration (measured in parts per million, ppm) for each of the first three years is projected as follows:
- Plan X: The total pollutant level decreases by 20 ppm in the first year, an additional 15 ppm in the second year, and an additional 10 ppm in the third year.
- Plan Y: The total pollutant level decreases by 5 ppm in the first year, an additional 10 ppm in the second year, and an additional 15 ppm in the third year.
Which plan's total pollution level, when graphed over time, would be represented by a function that is both decreasing and concave? Justify your choice by analyzing the rate at which the pollution is decreasing in each plan.
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Introduction to Microeconomics Course
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A company is tracking the declining market share of one of its products. The data collected over five consecutive months is shown below:
- Month 1: 20%
- Month 2: 18%
- Month 3: 15%
- Month 4: 11%
- Month 5: 6%
Based on this data, which of the following best describes the function representing the market share over time?
Evaluating Pollution Reduction Models