In response to rising concerns about identity theft the number of models of paper shredders accompany manufactures increased approximately steadily from five models in 1999 to 33 models in 2007. Find the average rate of change of the number of shredder models manufactured per year between 1999 and 2007.

Answer 1

To find the average rate of change of the number of shredder models manufactured per year between 1999 and 2007, we need to calculate the total change in the number of models and divide it by the number of years.

The total change in the number of models is obtained by subtracting the initial value from the final value:
Total change = Final value - Initial value

In 1999, there were 5 models of paper shredders, and in 2007, there were 33 models. Therefore:
Total change = 33 - 5 = 28

The number of years between 1999 and 2007 is:
Number of years = 2007 - 1999 = 8

Now, divide the total change by the number of years to find the average rate of change:
Average rate of change = Total change / Number of years
Average rate of change = 28 / 8
Average rate of change = 3.5

Therefore, the average rate of change of the number of shredder models manufactured per year between 1999 and 2007 is 3.5.