Question

a dog show enthusiast recorded the weight of the winning dog at recent dog shows.
weight of winning dog at a dog show
according to the table, when was the rate of change greater?
between 2017 and 2018
between 2016 and 2020

Explanation:

Step1: Calculate rate of change between 2017 and 2018

The formula for rate of change is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2017$, $y_1 = 89$, $x_2 = 2018$, $y_2 = 138$.
$\frac{138 - 89}{2018 - 2017}=\frac{49}{1}=49$

Step2: Calculate rate of change between 2016 and 2020

Here, $x_1 = 2016$, $y_1 = 90$, $x_2 = 2020$, $y_2 = 102$.
$\frac{102 - 90}{2020 - 2016}=\frac{12}{4}=3$

Answer:

between 2017 and 2018