Notes 4.1– USING GRAPHS TO RELATE TWO QUANTITIES

Graphs can be used to show the CHANGING relationships between quantities.   Key Phrase Graph Meaning Sketch of Graph   Line or curve that goes up from left to right Line or curve that goes down from left to right Horizontal line Vertical Line y x INCREASE, RISE, FAST DECREASE, FALL, SLOW y x CONSTANT, UNCHANGING y x IMMEDIATE FALL, RISE y x

The variables are TIME in days, and GAS in gallons Analyzing a Graph: The graph below shows the amount of gasoline in Jamie’s tank after she fills up her car. What are the variables? Describe how they are related at various points on the graph. 1 2 3 4 5 6 7 Gas (Gallons) Time (days) The variables are TIME in days, and GAS in gallons Break the graph into sections!

1.) Jamie does not drive the car for 5 days Gas (Gallons) Time (days) 1 2 3 4 5 6 7 1.) Jamie does not drive the car for 5 days 2.) Jamie drives the car and uses gas for 2 days. 3.) Jamie does not drive the car for 3 days 4.) Jamie drives the car and uses gas for 2 days. 5.) Jamie fills the tank with gas on the 12th day. 6.) Jamie drives the car and uses gas for 4 days. 7.) Jamie does not drive the car for 3 days

Matching a Graph and a Table: Match the graphs to the tables: 1.) 2.) 3.) A.) B.) C.)

You can use graphs to represent visually the relationship between two variable quantities as they CHANGE.   Sketch a graph to represent the situation. Label each section. 1) You buy two shirts. The third one is free. COST ($) SHIRTS

BODY TEMP(Degrees) TIME (Min) 2) You warm up for gym class, play basketball, and then cool down. BODY TEMP(Degrees) TIME (Min)

HOMEWORK: 4.1 Practice WS