Question

1. this table shows the total enrollment of students at texas southern university (tsu) from 2000 to 2007.

find the percent change in the enrollment at tsu from 2003 to 2007. interpret your answer.

a. from 2003 to 2007, tsus enrollment decreased by 2.8 %
b. from 2003 to 2007, tsus enrollment decreased by 12.8%
c. from 2003 to 2007, the percent change in tsus enrollment was -0.128
d. from 2003 to 2007, the change in tsus enrollment was -1.4.

Explanation:

Step1: Identify the enrollment in 2003 and 2007

In 2003 (3 years after 2000), enrollment \(a = 21.8\) (in thousands). In 2007 (7 years after 2000), enrollment \(b=19\) (in thousands).

Step2: Use the percent - change formula

The percent - change formula is \(\text{Percent Change}=\frac{b - a}{a}\times100\%\).
Substitute \(a = 21.8\) and \(b = 19\) into the formula: \(\frac{19 - 21.8}{21.8}\times100\%=\frac{- 2.8}{21.8}\times100\%\).
Calculate \(\frac{-2.8}{21.8}\approx - 0.128\), then \(-0.128\times100\%=-12.8\%\).

Answer:

B. From 2003 to 2007, TSU’s enrollment decreased by 12.8%