Answer:
B. Brent
Step-by-step explanation:
Let us turn the Session 2 scores into fractions so we have common units.
(John) 52% -> [tex]\frac{52}{100}[/tex]
(Alexis) 57.5% -> [tex]\frac{575}{1000}[/tex]
(Brent) 39.5% -> [tex]\frac{395}{1000}[/tex]
Now, we can simplify them.
(John I divide by 2) [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]
(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]
(Brent, I divided by 5) [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]
Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.
(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667
(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025
(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305
Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.
