To figure out how many vacation days she had left to use, Ann looked over her old calendars to figure out how many days of vacation she had taken each year.

Question

Vacation days taken by Ann
Year Vacation days
2010 10
2011 17
2012 17
2013 22
2014 11
According to the table, what was the rate of change between 2010 and 2013?
vacation days per year

Answer 1

To find the rate of change in vacation days taken by Ann between 2010 and 2013, we need to subtract the number of vacation days taken in 2010 from the number taken in 2013 and then divide that by the number of years between these two years.

1. Vacation days in 2010: 10 days
2. Vacation days in 2013: 22 days
3. The number of years between 2010 and 2013: 2013 - 2010 = 3 years

Now, we can calculate the rate of change:

\[ \text{Rate of change} = \frac{\text{Vacation days in 2013} - \text{Vacation days in 2010}}{\text{Number of years}} \]

\[ \text{Rate of change} = \frac{22 - 10}{3} = \frac{12}{3} = 4 \]

The rate of change in vacation days taken by Ann between 2010 and 2013 is 4 vacation days per year.