Question

in hopes of raising more funds for arts education, some parents in the princeton school district publicized the current per - student arts education budget.
princeton arts education budget
according to the table, when was the rate of decrease greater?
between 2016 and 2017
between 2018 and 2020

Explanation:

Step1: Calculate the rate of decrease between 2016 and 2017

The formula for the rate of decrease is \(\frac{\text{Original}-\text{New}}{\text{Original}}\times100\%\).
Original value (2016) = \(68\), New value (2017) = \(36\).
\(\frac{68 - 36}{68}\times100\%=\frac{32}{68}\times100\%\approx47.06\%\)

Step2: Calculate the rate of decrease between 2018 and 2020

Original value (2018) = \(81\), New value (2020) = \(57\).
The time - period is \(2\) years. First, find the average per - year change.
The total decrease is \(81-57 = 24\). The average per - year decrease is \(\frac{24}{2}=12\).
Using the formula for the rate of decrease (assuming we consider the first - year as the base for a non - compounded rate, similar to simple interest concept for rate calculation over multiple years in a non - exponential context).
\(\frac{12}{81}\times100\%\approx14.81\%\)

Answer:

between 2016 and 2017