Question

every year millersburg has a citywide relay and reports the winning times. according to the table, what was the rate of change between 2014 and 2016? minutes per year

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change is $\frac{\text{Change in winning time}}{\text{Change in year}}=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two data - points. For 2014 ($x_1 = 2014,y_1=39$) and 2016 ($x_2 = 2016,y_2 = 39$).

Step2: Substitute the values into the formula

Substitute $x_1 = 2014,y_1 = 39,x_2=2016,y_2 = 39$ into the formula: $\frac{39 - 39}{2016 - 2014}$.

Step3: Calculate the numerator and denominator

The numerator: $39−39 = 0$. The denominator: $2016−2014=2$. So, $\frac{0}{2}=0$.

Answer:

$0$