Sally looks at her college transcript and says to you, "How is this possible? My grade point average (GPA) for this semester's courses is higher than my GPA for last semester's courses, but my cumulative GPA still went down from last semester to this semester." Explain to Sally how this is possible.
Accepted Solution
A:
Answer:If Sally's GPA in this semester is lesser than her cumulative GPA, her cumulative GPA is still going to decrease, no matter her GPA for last semester.Step-by-step explanation:If Sally's GPA in this semester is lesser than her cumulative GPA, her cumulative GPA is still going to decrease, no matter her GPA for last semester.ExampleLet's Suppose that Sally got a GPA of 4 in her first 3 semesters. So her cumulative GPA is:[tex]GPA = \frac{3*4}{3} = 4[/tex].In the fourth semester, she got a GPA of 3. So her cumulative GPA after four semesters is:[tex]GPA = \frac{3*4 + 3}{4} = 3.75[/tex]Then she got a GPA of 3.5 in the fifth semester. So her cumulative GPA after five semesters is:[tex]GPA = \frac{3*4 + 3 + 3.5}{5} = 3.7[/tex]