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In: Advanced Math

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


(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

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Colby Messinger answered 3 months ago
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