Question

each year the burlington school district publishes its annual budget, which includes
information on the sports programs per - student spending.
burlington school district sports budget
year
2012
2013
2014
2015
2016
per - student budget
$286
$291
$291
$344
$363
according to the table, what was the rate of change between 2012 and 2015?
round your answer to the nearest cent.
$ per year

Explanation:

Step1: Recall the formula for rate of change

The formula for the rate of change (percentage change) is $\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100\%$. Here, the new value is the per - student budget in 2015 ($344$) and the old value is the per - student budget in 2012 ($286$).

Step2: Substitute the values into the formula

Substitute the values into the formula: $\frac{344 - 286}{286}\times100\%=\frac{58}{286}\times100\%$.

Step3: Calculate the fraction

Calculate $\frac{58}{286}\approx0.2028$.

Step4: Multiply by 100%

Multiply by 100%: $0.2028\times100\% = 20.28\%$.

Step5: Round to the nearest cent

Rounding $20.28\%$ to the nearest cent (in percentage terms, since we are dealing with a percentage rate of change), it is approximately $20.28\%$.

Answer:

$20.28\%$