Question

a dog show enthusiast recorded the weight of the winning dog at recent dog shows. according to the table, when was the rate of change greater? between 2012 and 2013 between 2014 and 2015

Explanation:

Step1: Calculate the rate of change between 2012 and 2013

The formula for the rate of change is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2012$, $y_1 = 74$, $x_2 = 2013$, $y_2 = 79$.
$\frac{79 - 74}{2013 - 2012}=\frac{5}{1}=5$

Step2: Calculate the rate of change between 2014 and 2015

Using the same formula, $x_1 = 2014$, $y_1 = 70$, $x_2 = 2015$, $y_2 = 73$.
$\frac{73 - 70}{2015 - 2014}=\frac{3}{1}=3$

Answer:

Between 2012 and 2013