More Practice with Exponential Functions

Warm-upQuick Quiz!

Learning Objective: to use exponential functions in other real life situations and begin to solve exponential equations.

NotesEX 1 – From past experience, it was found that the learning curve for the average employee is given by

Where N is the number of boards assembled per day after t days of training.

a. Graph this function for

0.1240 1 tN e

0 30t

b. What value does N tend to as t increases without bound?

EX 2 – Find an exponential regression model for the national debt using x as years since 1970.

Year 1970 1975 1980 1985 1990 1995

Debt

(in billions)

389 577 930 1,946 3,233 4,974

a. Estimate the national debt in 2000 and 2010 to the nearest billion.

http://www.youtube.com/watch?v=um0guhNGPPM&feature=related

One to One Property

If ,x xa b then a b

If ,x ya a then x yEX 3 – Solve for the missing variable

5 1 3 3a. 7 7t t 5 1 3 3t t

2 4t 2t

5 5b. 1 2a 1 2a

1a

HW – wkshtSummary – none

Out – write down your top 3 career choices and turn it in

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