Question

the financial aid office at sullivan university produced an internal report on the number of stud
students receiving scholarships
year students
2020 99
2021 63
2022 15
2023 41
2024 36
according to the table, when was the rate of decrease greater?
between 2021 and 2024
between 2020 and 2022

Explanation:

Step1: Calculate rate of decrease between 2020 - 2022

The formula for rate of decrease is $\text{Rate}=\frac{\text{Initial}-\text{Final}}{\text{Initial}}\times100\%$. Initial number of students in 2020 is 99, final in 2022 is 15. So $\text{Rate}_{2020 - 2022}=\frac{99 - 15}{99}\times100\%=\frac{84}{99}\times100\%\approx84.85\%$.

Step2: Calculate rate of decrease between 2021 - 2024

Initial number of students in 2021 is 63, final in 2024 is 36. So $\text{Rate}_{2021 - 2024}=\frac{63 - 36}{63}\times100\%=\frac{27}{63}\times100\%\approx42.86\%$.

Step3: Compare the rates

Since $84.85\%>42.86\%$, the rate of decrease is greater between 2020 and 2022.

Answer:

between 2020 and 2022