Question

based on the data in the following graph, if carbon dioxide concentrations continue at the current trajectory, which is the best estimate of atmospheric co₂ concentration in 2040?

Explanation:

Step1: Calculate the number of years from 2022 to 2040

The number of years \(n = 2040 - 2022=18\) years.

Step2: Analyze the trend of \(CO_2\) concentration increase

Looking at the graph's trend (assuming a relatively steady - ish increase in recent years, and considering the value in 2022 is 418.19 ppm). If we assume a moderate increase rate (by visual inspection of the graph's steepness in the red - line segment which represents recent data). A rough estimate: if we assume an average increase of about 1.5 - 2 ppm per year (a very rough estimate based on the upward trend of the red line in the graph).

Step3: Estimate the \(CO_2\) concentration in 2040

Using the formula \(C = C_{2022}+r\times n\), where \(C_{2022} = 418.19\) ppm, \(n = 18\) years. If \(r = 1.5\) ppm/year, \(C=418.19+1.5\times18=418.19 + 27=445.19\) ppm; if \(r = 2\) ppm/year, \(C=418.19+2\times18=418.19 + 36 = 454.19\) ppm.

Since 450 ppm is the closest among the given options to our rough - estimated range (considering possible acceleration in the trend as the graph shows an upward - curving trend in recent years).

Answer:

450 ppm