If we assume the population of grand rapids is growing at a rate of approximately 4% per decade, we can model the population function with the formula
p( t ) = 181843 ( 1.04 )^(t / 10).
use this formula to compute the average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ] .

The average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ]  are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.

Step-by-step explanation:

The given function is

where, P(t) is population after t years.

At t=5,

At t=6,

At t=7,

At t=8,

At t=9,

At t=10,

The rate of change of P(t) on the interval is

Using the above formula, the average rate of change of the population on the intervals [ 5 , 10 ] is

The average rate of change of the population on the intervals [ 5 , 9 ] is

The average rate of change of the population on the intervals [ 5 , 8 ] is

The average rate of change of the population on the intervals [ 5 , 7 ] is

The average rate of change of the population on the intervals [ 5 , 6 ] is

Therefore the average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ]  are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.

line or a linear equation graph

step-by-step explanation: