1. Lesson 1-4 Linear Functions and Models

2. Objective:

3. Objective: To model real-world situations by means of linear functions.

4. Function:

5. Function: A dependent relationship between quantities.

6. Linear Function:

8. A) What is the slope of the graph of f(x) = -2x + 4? B) What is the zero of the function? C) What are the intercepts of the function’s graph? D) Find.

9. The senior class has paid $200 to rent a roller skating rink for a fund raising party. Tickets for the party are $5 each. A) Express the net income as a function of the number of tickets sold. B) Graph the function. Identify the point at which the class begins to make a profit.

11. Let g be a linear function such that g(1) = 2 and g(5) = 4. A) Sketch the graph of g. B) Find an equation for g(x). C) Find g(-1).

12. Suppose that it costs 50 cents for the first minute of a long distance telephone call and 20 cents for each additional minute or fraction thereof. Give a graphical model of the cost of a call lasting t minutes.

13. Lets analyze the information: time ‘t’ cost If 0 < t < 1 ?? 2 ?? If 1 < t < 2 ?? If 2 < t If 2 < t < 3 ?? If 3 < t < 4 ?? This type of problem actually models what is called a ‘step function’. Can you figure out why?

14. Assignment: Pgs. 21-22 C.E.  1-4 all, W.E.  1-6 all, 7-15 odd, 21