Question

According to the quadratic model y = 0.0429x² - 9.73x + 584 that represents methane gas emissions, what would emissions be in 2014?

A) 539.1 million metric tons
B) 549.6 million metric tons
C) 538.6 million metric tons
D) 560.2 million metric tons

Answer 1

The quadratic model predicts methane gas emissions in 2014 to be approximately 549.6 million metric tons based on the provided equation.

B) 549.6 million metric tons

Step-by-step explanation:

The quadratic model (y = 0.0429x² - 9.73x + 584) is used to represent methane gas emissions, where (y) is the emissions and \(x\) is the year. To find the emissions in 2014, substitute (x = 2014) into the equation:

y = 0.0429(2014)² - 9.73(2014) + 584

After calculation, the result is approximately 549.6 million metric tons. Therefore, according to the quadratic model, methane gas emissions in 2014 would be around 549.6 million metric tons.

This mathematical approach allows researchers and policymakers to estimate emissions over time based on historical data and trends, contributing to environmental impact assessments and the development of mitigation strategies.