In: Advanced Math
The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.)
Year | 1997 | 1999 | 2001 | 2003 | 2005 | 2007 |
P | 2.1 | 8.2 | 15.7 | 25 | 45.7 | 62.5 |
(c) Estimate the instantaneous rate of growth in 2003 by sketching
a graph of P and measuring the slope of a tangent. (Sketch
your graph so that it is a smooth curve through the points, and so
that the tangent line has an x-intercept of 1999.3 and
passing through the point
(2006, 46.6). Round your answer to two decimal places.)
For part, c use the two points that are on the tangent line to
determine the slope, which is the instantaneous rate of
change.
......................................... percentage
points per year