Objective - To represent functions using models, tables, graphs, and equations. Function - A rule that describes a dependent relationship between two quantities.

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Objective - To represent functions using models, tables, graphs, and equations. Function - A rule that describes a dependent relationship between two quantities.

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Presentation transcript:

Objective - To represent functions using models, tables, graphs, and equations. Function - A rule that describes a dependent relationship between two quantities. Domain - The set of input values in a function. Range - The set of output values in a function.

Let n = # of trianglesLet p = the perimeter of each figure n p Dependent Model: Table:Graph:Equation: p n # of triangles perimeter p = n + 2 Dependent Line is discrete

Let n = # of hexagons Let p = perimeter of figure n p Dependent Model: Table:Graph:Equation: p n # of hexagons perimeter p = Dependent Line is discrete 4n + 2

This chart shows the price of sliced fruit platters. 1) How much would a 6 lb. platter cost? 1.50 $ = $ ) Write an equation for the cost of a platter that weighs w lbs. Let p = price of platter p = 1.50 w ) How much would a 10 lb. platter cost? p = 1.50 w p = 1.50 ( 10 ) p = = $15.60 ChangeStart Value

A taxi cab charges a flat rate of $2.50 and 15 c per mile. Write a linear equation for the charge in terms of the number of miles driven. Let C = charge in dollars Let m = # of miles driven C = m ChangeStart Value

A phone company charges $17.50 per month and 12 c for each additional minute. Write a linear equation for the charge in terms of the number of minutes. Let C = charge in dollars Let m = # of minutes C = m ChangeStart Value

m Let m = # of minutes Let V = Volume of gas in tank V = m V Line is continuous A car’s fuel tank is filled at a rate of 1.6 gal/min. The tank held 5 gallons of gas before refueling. Volume of gas in tank # minutes Table: Graph: Equation:

Homework Page –7-12, 14, 15, 20-22

Homework Page –23, 24, 25, 27

10/19/09 Chapter 1 test Thursday Chapter review page