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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 2a <strong>–</strong> Linear Functions and Applications<br />

Mini-Lesson<br />

Average rate of change (often just referred to as the “rate of change”) of a function over a<br />

change in output change in y<br />

specified interval is the ratio =<br />

change in input change in x .<br />

output units<br />

Units for the Average Rate of Change are always<br />

input units .<br />

Problem 2 MEDIA EXAMPLE <strong>–</strong> AVERAGE RATE OF CHANGE<br />

The function E(t) = 3861 <strong>–</strong> 77.2t gives the surface elevation (in feet above sea level) of Lake<br />

Powell t years after 1999. Use this function and your graphing calculator to complete the table<br />

below.<br />

E(t), Surface Elevation of Lake Powell<br />

t, years since 1999<br />

(in feet above sea level)<br />

0<br />

1<br />

2<br />

3<br />

5<br />

6<br />

a) Determine the Average Rate of Change of the surface elevation between 1999 and 2000.<br />

b) Determine the Average Rate of Change of the surface elevation between 2000 and 2004.<br />

c) Determine the Average Rate of Change of the surface elevation between 2001 and 2005.<br />

Scottsdale Community College Page 55 <strong>Intermediate</strong> <strong>Algebra</strong>

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