The population of a small rural town in lowa went from 5700 people in 1998 to 7945 in 2005. What is the rate of change in the population for this town?

Question

Julia Adams · Accepted Answer

The town had a 39.4% change from 1998 to 2005

The following formula can be used to determine the percentage or rate of change between two numbers over time: #p = (N - O)/O*100# where #p# is that percentage or rate of change, #N# is the New Value and #O# is the Old Value. We are given the New Value (7945) and the Old Value (5700) which we can substitute into the formula and solve for #p#: #p = (7945 - 5700)/5700 * 100# #p = 2245/5700*100# #p = 224500/5700# #p = 39.4%# rounded to the nearest tenth of a percent.

Julia Adams · Answer

undefined To find the rate of change in the population for the town, you subtract the initial population from the final population, then divide by the number of years elapsed:

Rate of change = (Final population - Initial population) / Number of years

Rate of change = (7945 - 5700) / (2005 - 1998)
Rate of change = 2245 / 7
Rate of change ≈ 320.71 people per year