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Lesson 1-4

Lesson 1-4. Linear Functions and Models. Objective:. Objective:. To model real-world situations by means of linear functions. Function:. Function:. A dependent relationship between quantities. Linear Function:. Linear Function:.

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Lesson 1-4

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  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:

  7. 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.

  10. 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).

  11. 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.

  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. Lets analyze the information: time ‘t’ cost If 0 < t < 1 ?? If 1 < t < 2 ?? 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?

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

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