CUNY Brooklyn College The Martial status of US Adults Systems Applications Question

I’m working on a calculus question and need an explanation to help me understand better.

PreCalculus Algebra Name Systems Application Assignment Answer the questions below. Data collected by the US Census Bureau shows that fewer US adults are getting married. Marital Status of U.S. Adults Percentage of American Adults 1970 1980 1990 2000 2013 Year I Never Married I Married The double bar graph above displays the data collected by the US Census Bureau with best fit lines overlaid. Use the table to complete the applications, showing all of your work. Round your answers to the nearest year or percent. 1. Create a system of linear equations to model the data by creating a linear equation for each of the best ?t lines provided in the chart. However, use years after 1970 for the x-values instead of the actual year. 2. Use your model to determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent, will belong to each group? 3. Create a double-line graph for your model of the system of linear equations. 4. Use your model to predict when the percentage of American adults that are married will decrease to 20%. 5. Use your model to predict when the percentage of American adults that have never married will reach 40%. 6. Can your model be used to predict the percentage of American adults that are married in the year 2120? Explain.