Question

fans of the lakeside baseball team compared the number of games won by their team each year. games won by the lakeside baseball team (graph: x - year (2013 - 2017), y - games won (0 - 30); points: 2013(10), 2014(5), 2015(20), 2016(10), 2017(29)) according to the graph, when was the rate of change greater? options: between 2015 and 2017; between 2013 and 2016

Explanation:

Step1: Calculate rate for 2015 - 2017

In 2015, games won = 20; 2017, games won = 30. Time span = 2017 - 2015 = 2 years. Rate of change = $\frac{30 - 20}{2017 - 2015} = \frac{10}{2} = 5$ games per year.

Step2: Calculate rate for 2013 - 2016

In 2013, games won = 10; 2016, games won = 10. Time span = 2016 - 2013 = 3 years. Rate of change = $\frac{10 - 10}{3} = 0$ games per year.

Step3: Compare rates

5 > 0, so rate between 2015 - 2017 is greater.

Answer:

between 2015 and 2017