The fact that both calculations give 1.036 shows the population grew by about 3.6% between 2000 and 2001 between 2001 and 2002. Similar calculations for other years show that the population and grew by a factor of about 1.036, or 3.6%, every year. Whenever we have a constant growth factor (here 1.036), we have exponential growth. The population years after 2000 is given by the t function exponential If we assume that the formula for 50 years, the population graph has the shape shown in Figure . Since the population is growing faster and faster as time goes on, the graph is bending upward; we say it is Even exponential functions which climb slowly at first, such as this one, concave up. eventually climb extremely quickly.
The fact that both calculations give 1.036 shows the population grew by about 3.6% between 2000 and 2001 and between 2001 and 2002. Similar calculations for other years show that the population grew by a factor of about 1.036, or 3.6%, every year. Whenever we have a constant growth factor (here 1.036), we have exponential growth. The population t years after 2000 is given by the exponential function If we assume that the formula for 50 years, the population graph has the shape shown in Figure . Since the population is growing faster and faster as time goes on, the graph is bending upward; we say it is concave up. Even exponential functions which climb slowly at first, such as this one, eventually climb extremely quickly.
1.2.docx