Warm Up Find the rate of change of f(x)=3x + 5 between [0, 4].

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Presentation transcript:

Warm Up Find the rate of change of f(x)=3x + 5 between [0, 4]. 2. In the 1st hour, 300 people showed up to the stadium. In the 3rd hour, 1000 people were in attendance. What is the rate of change of people attending the game?

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Writing Functions

Important Reminders Linear Model: y = mx + b or f(x) = mx + b m = rate of change (slope) b = start value

Example 1: Construct a function for the relationship. Andy wants to rent a U-Haul for his big move across the US. When he gets to the U-Haul Dealership, they tell him that it will cost an automatic 200 dollars to rent a U-Haul. In addition to the rental cost, depending on how long Andy needs the U-Haul for, he will have to pay an additional 10 dollars per hour. What is the y-intercept (constant) and slope (coefficient)? Construct a model for this relationship. Create a table of reasonable input and output values? Evaluate f(48). What does f(48) represent?

What is the y-intercept? What is the model? What is f(3)? Example 2: Construct a linear model for the relationship between the input and output values What is the slope? What is the y-intercept? What is the model? What is f(3)?

Example 3: Construct a linear model for the relationship given by the graph.

Guided Practice & Review

Classwork Assignment (Word Problems) In pairs, please complete assignment.

Exit Ticket Looking at the table to the left, write the relationship that you see as a function. Sarah has 500 dollars. She is planning to give away $10 a month to children in need. Write a function to represent this relationship.