Bean Consumption Analysis and Intervals

The video tutorial explains how to use a graphing calculator to analyze a function modeling the annual consumption of beans in the U.S. from 2000 to 2017. It covers determining the years when consumption was greater than 21,360 tons and less than 21,255 tons using graphing methods. The tutorial includes steps for entering functions, adjusting graphing windows, and finding intersection points to solve inequalities. It also explains how to express solutions in interval notation and interpret results in terms of years.

What does the function f(x) represent in the context of the video?

• The annual consumption of beans in the U.S.

• The annual production of beans in the U.S.

• The annual import of beans to the U.S.

• The annual export of beans from the U.S.

In which years was the consumption of beans greater than 21,360 tons?

• From 2012 to 2016

• From 2014 to 2018

• From 2013 to 2017

• From 2000 to 2013

What does the point of intersection represent in the graph?

• The year when consumption was at its lowest.

• The year when consumption was at its peak.

• The year when consumption was exactly 21,255 tons.

• The year when consumption was exactly 21,360 tons.

What is the interval notation for the years when bean consumption was above 21,360 tons?

• (13.1, 18]

• [13.1, 18)

• [13.1, 18]

• (13.1, 18)

In which year did the bean consumption first exceed 21,360 tons?

• 2015

• 2014

• 2013

• 2012

Why do we use parentheses in the interval notation for Part A?

• Because the interval is closed.

• Because the endpoints are included.

• Because the interval is open.

• Because the endpoints are not included.

What is the task for Part B of the video?

• Determine when bean consumption was exactly 21,360 tons.

• Determine when bean consumption was less than 21,255 tons.

• Determine when bean consumption was exactly 21,255 tons.

• Determine when bean consumption was more than 21,360 tons.

What is the interval notation for the years when bean consumption was below 21,255 tons?

• [0, 12.2)

• (0, 12.2]

• (0, 12.2)

• [0, 12.2]

Until which year was the bean consumption below 21,255 tons?

• 2012

• 2011

• 2013

• 2010

What is the significance of x = 0 in the model?

• It represents the year 2017.

• It represents the year 2010.

• It represents the year 2018.

• It represents the year 2000.