Question

Mrs. Huber told students how many rounds to expect in the spelling bee based on previous years.
Rounds in the spelling bee
Year Rounds
2012 14
2013 9
2014 14
2015 6
2016 8
According to the table, what was the rate of change between 2014 and 2016?
rounds per year

Answer 1

To find the rate of change in rounds between 2014 and 2016, we need to calculate the difference in the number of rounds between these two years and then divide by the difference in years.

From the table:
- In 2014, there were 14 rounds.
- In 2016, there were 8 rounds.

Now, we calculate the difference in rounds:
\[
\text{Difference in rounds} = 8 - 14 = -6
\]

Next, we calculate the difference in years:
\[
\text{Difference in years} = 2016 - 2014 = 2
\]

Finally, we can find the rate of change:
\[
\text{Rate of change} = \frac{\text{Difference in rounds}}{\text{Difference in years}} = \frac{-6}{2} = -3
\]

So, the rate of change between 2014 and 2016 is \(-3\) rounds per year.