A local university has 2.815 Hispanic students out of a total student population of 20.250. Do the Hispanic students have propor
tional representation at the university? ____________________________
Race Percent of population
___________________________
white 45
Hispanic 27
Black 18
Asian 7
other 3
__________________________
b. how many more Hispanic students would the university need n order for the Hispanic students to ave proportional representation?
Given: The race percent of population is White: 45% Hispanic: 27% Black: 18% Asian: 7% Other: 3%
Part a. The university has 2,815 Hispanic out of the 20,250 total population. This is equivalent to (2815/20250)*100 = 13.9% This percentage is less than 27%, so Hispanics do not have proportional representation.
Answer: The Hispanic students do not have proportional representation.
Part b. Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27. Then (2815 + x)/20250 = 0.27 2815 + x = 20250*0.27 = 5467.5 x = 5467.5 - 2815 = 2652.5
This means that 2,653 extra Hispanic students are required for a population of 20,250 students.
