To determine the rate of change in the per-student arts education budget between any two consecutive years, we subtract the earlier year's budget from the later year's budget. Let's follow these steps using the provided data for the years 2018 and 2019:
1. Identify the per-student budget for 2018: [tex]\(\$28\)[/tex]
2. Identify the per-student budget for 2019: [tex]\(\$28\)[/tex]
3. Calculate the rate of change by subtracting the 2018 budget from the 2019 budget:
[tex]\[
\text{Rate of Change} = \text{Budget in 2019} - \text{Budget in 2018}
\][/tex]
[tex]\[
\text{Rate of Change} = \$28 - \$28
\][/tex]
[tex]\[
\text{Rate of Change} = \$0
\][/tex]
Therefore, the rate of change in the per-student arts education budget between 2018 and 2019 is \$0 per year.
