RE 3 2 Population growth? Suppose ?p?(?t?) = ?1.7t + 72t + 7200t ? ? + 80,000 is the population of a City t? ?years after 1950. a.? Determine the average rate of growth of the city from 1950 to 2000. b.? What was the rate of growth of the city in 1990?

Solution Step 1: 3 2 Suppose ) = 1.7t + 72t + 7200t + 80,000 is the population of a City t years after 1950. (a) The average rate of the growth of the city from 1950 to 2000 is given by p(50)p(0) [p(t) is t years after 1950] 50 Now p(50)= 1.7(50) + 72(50) + 7200(50)+ 80,000 =407500 p(0)=1.7 (0) + 72 (0) + 7200( 0)+ 80,000 =80000 Therefore p(50)p(0= 40750080000)= 327500=6500 people /year 50 50 50