According to a 2010 Kaiser Family Foundation report, during 2009 kids spent almost every waking hour outside of school using electronic devices such as iPhones, computers, or televisions. Those aged 8 to 18 spent an average seven and a half hours a day in 2009 versus six and a half hours in 2004. Calculate the annual average rate of change of electronic use for kids from 2004 to 2009.
To calculate the annual average rate of change of electronic use for kids from 2004 to 2009, you need to find the difference in the average hours of electronic use per day between these two years and divide it by the number of years.
Step 1: Find the difference in average hours of electronic use:
In 2004, kids spent an average of 6.5 hours per day using electronic devices.
In 2009, kids spent an average of 7.5 hours per day using electronic devices.
The difference in average hours of electronic use is 7.5 - 6.5 = 1 hour.
Step 2: Determine the number of years:
The time period is from 2004 to 2009. So, there are 5 years between these two years.
Step 3: Calculate the annual average rate of change:
To calculate the annual average rate of change, divide the difference in average hours (1 hour) by the number of years (5 years).
Annual average rate of change = Difference in average hours / Number of years
= 1 hour / 5 years
= 0.2 hours/year
Therefore, the annual average rate of change of electronic use for kids from 2004 to 2009 is 0.2 hours per year. This means that, on average, kids increased their daily electronic device usage by 0.2 hours each year during this time period.
rate of change = (amount of change)/(starting amount)
In this case, that is
(7.5-6.5)/6.5 = 0.1538 = 15.38%