Question

the drama department recorded how long the annual school play lasted each year.
length of annual school play
according to the table, what was the rate of change between 2012 and 2015?
minutes per year

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change (slope) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points. Here, \(x\) represents the year and \(y\) represents the length of the play. For 2012 (\(x_1 = 2012,y_1=93\)) and 2015 (\(x_2 = 2015,y_2 = 84\)).

Step2: Substitute the values into the formula

\(m=\frac{84 - 93}{2015 - 2012}\)
First, calculate the numerator: \(84−93=-9\).
Then, calculate the denominator: \(2015 - 2012 = 3\).
So, \(m=\frac{-9}{3}=- 3\)

Answer:

\(-3\)