Chapter 8
Chapter 8
Chapter 8
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EXAMPLE 2<br />
Selecting a strategy for calculating the instantaneous rate<br />
of change<br />
Using the data from Example 1, determine the instantaneous rate of change in students per computer for year 8.<br />
Solution A: Calculating numerically<br />
Plot the data on a graphing<br />
calculator.<br />
Use an exponential function of<br />
the form y 5 ab x 1 c to fit a<br />
curve of the data.<br />
Use the VALUE feature to find<br />
values on either side of year 8.<br />
Instantaneous rate of change<br />
16.181 838 2 16.941 165<br />
5<br />
8.1 2 7.9<br />
8 23.4<br />
At year 8, the instantaneous rate of change in students per<br />
computer was decreasing by about 3 students per computer.<br />
Use these values to calculate the<br />
slope of the tangent numerically.<br />
504 8.8 Rates of Change in Exponential and Logarithmic Functions<br />
NEL
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