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Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 3b <strong>–</strong> More Exponential Functions<br />

Practice Problems<br />

6. The table below shows the value of an investment over time.<br />

Time (years) 0 3 8 12 15 22<br />

Value ($) 4582 5007 5804 6533 7139 8779<br />

a) Use your calculator to determine the exponential regression equation that models the set<br />

of data above. Clearly indicate what each variable represents.<br />

b) Based on the equation found in part a, at what percent rate is the value of this investment<br />

increasing each year?<br />

c) Use the TABLE to determine the value of the investment after 3 years. (NOTE: We<br />

generally refer to this type of problem as “reading the data” or “extracting the data”)<br />

d) Use the equation from part a to determine the value of the investment after 10 years.<br />

(NOTE: We generally refer to this type of problem as “reading between the data” or<br />

“interpolating the data”)<br />

e) Use the equation from part a to determine the value of the investment after 30 years.<br />

(NOTE: We generally refer to this type of problem as “reading beyond the data” or<br />

“extrapolating the data”)<br />

Scottsdale Community College Page 135 <strong>Intermediate</strong> <strong>Algebra</strong>

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