Lesson 1 4 Linear Functions and Models Objective

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:

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

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.

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).

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.

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

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