In 1954, the Supreme Court ended legal segregation in U.S. public schools. The bar graph shows the percentage of black and white U.S. adults ages 25 or older who completed high school since the end of segregation.

The functions B(x) = 16 ln x + 23 and W(x) = 11 ln x + 49 model the percentage of black adults, B(x), and white adults, W(x), who had completed high school x years after 1961.

a. Use the appropriate model to determine the percentage of white adults who had completed high school in 2012. Round to the nearest percent. How well does this rounded value model the percents displayed by the graph?

b. Use the appropriate model to determine when 90% of black adults will have completed high school. Round to the nearest year.

Transcribed Image Text:

Percentage Who Completed High School 100% 80% 60% 40% 20% U.S. Adults Ages 25 or Older Who Completed High School Blacks Whites 23 49 1962 68 83 1992 Year 86 92 2012 www