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Name____________________________________Section __________ Linear vs Non Linear John has $10. He saves $5 each week. Complete the table and the graph to show the amount of money John will have at the end of 10 weeks. Weeks 0 1 2 3 4 5 6 7 8 9 10 Graph John’s Savings. Be sure to give your graph a title and to label your axes. Money (dollars) 10 15 20 What is the independent variable? ____________________ What is the dependent variable? __________________ Describe the change in John’s money from week to week. Does the change in money indicate addition or multiplication? What is John’s starting amount? Describe the look of the graph, namely, is it linear or non linear? Does it increase or decrease? The equation of a linear equation will always look like this: y = change(x) + start amount The equation of an exponential function will look like Y = start amount(growth factor)x Where y is the dependent variable and x is the independent variable. What is the equation of the situation modeled on this page? ____________________ John has $.01 (one penny) He has 5 times the previous weeks’ amount each week. Complete the table and the graph to show the amount of money John will have at the end of 10 weeks. Weeks 0 1 2 3 4 5 6 7 8 9 10 Graph John’s Savings. Be sure to give your graph a title and to label your axes. Money (dollars) .01 .05 .25 1.25 What is the independent variable? ____________________ What is the dependent variable? __________________ Describe the look of the graph, namely, is it linear or non linear? Does it increase or decrease? Describe the change in John’s money from week to week. The equation of a linear equation will always look like this: y = change(x) + start amount Does the change in money indicate addition or multiplication? The equation of an exponential function will look like What is John’s starting amount? Y = start amount(growth factor)x Where y is the dependent variable and x is the independent variable. What is the equation of the situation modeled on this page? ____________________ What is the equation of the situation modeled on this page? ____________________