The table shows the estimated percentage P of the population of a certain country that are...

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

(a) Find the average rate of change of P.

(i) From 2003 to 2007 ........................... percentage points per year

(ii) From 2003 to 2005 ............................. percentage points per year

(iii) From 2001 to 2003 ............................... percentage points per year

(b) Estimate the instantaneous rate of growth in 2003 by taking the average of two average rates of change. (Use the average rates of change for 2001 to 2003 and 2003 to 2005.)
........................... percentage points per year

(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.)
.................................... percentage points per year

Solutions

Expert Solution

milcah answered 1 year ago

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