the financial aid office at sullivan university produced an internal report on the number of stud\nstudents…
the financial aid office at sullivan university produced an internal report on the number of stud\nstudents receiving scholarships\nyear students\n2020 99\n2021 63\n2022 15\n2023 41\n2024 36\naccording to the table, when was the rate of decrease greater?\nbetween 2021 and 2024\nbetween 2020 and 2022
Answer
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