Directly Proportional Vs. Linear TicketsPeople TicketsPeople TABLE PEOPLEPEOPLE TICKETS PEOPLEPEOPLE TICKETS

Directly Proportional TicketsPeople TABLE PEOPLEPEOPLE TICKETS Both variables increase at a Constant (k) Rate. Divide y & x to find a Constant (k) in order to test for Directly Proportional Relationships within a table. Only 2 items in the relationship. Starts at the origin.

Linear Relationship Check to see if table has a pattern, but DOES NOT divide to give a Constant (k). DOES NOT start at the origin. Has an extra variable/flat rate. Starts at the y-intercept. TicketsPeople GRAPH PEOPLEPEOPLE TICKETS

Graph/Table Linear Equation Nachos$ (Money) Table $ Nachos

Inversely Proportional MilesHours GRAPH X variable increase, Y variable decreases or Vice Versa at a Constant (k) Rate. Multiply x & y in the table to find a Constant (k) to test for Inversely Proportional

NonLinear

TABLES Flow Chart for Testing BAGSAPPLES CHECK FOR SLOPE/PATTERN YES NO ALL RATIOS EQUAL RATIOS NOT EQUAL DIRECT LINEAR MULTIPLY X & Y (K) CONSTANT ALL THE SAME (K) CONSTANT NOT THE SAME INVERSE NONLINEAR

Practice XY ) 3) 2) 4) XY XY XY Directly Proportional? Linear? Nonlinear? Inversely proportional?

Practice Miles traveledCost of gas 25$5 50$10 75$15 100$20 1) 3) 2) 4) Miles traveledCost of gas 25$5 50$10 75$15 100$ Miles traveledCost of gas

CHECK FOR PATTERN YES NO ALL RATIOS EQUAL RATIOS NOT EQUAL Directly Proportional LINEAR MULTIPLY X & Y (K) CONSTANT ALL THE SAME (K) CONSTANT NOT THE SAME NONLINEAR Inversely Proportional

YES NO Draw these and fill these in on the quiz!!!

Review for quiz Tell if each table is linear, nonlinear, directly proportional, or inversely proportional. 1) 2) 3) 4) XY XY XY XY

Review for quiz

Practice