RE 3 2 Population growth Suppose p(t) = 1.7t + 72t + 7200t

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