Proportional vs. Non-Proportional

Which chart is a proportional? miles cost hours miles 1 2 3 4 5 10 20 30 20 30 38 45 217 434 651 868 Is proportional Why? Not proportional Why? 217 1 434 2 651 3 868 4 20 5 30 10 38 20 45 30 217 217 217 217 4 3 1.9 1.5 All the same ratios All different ratios

Which function is proportional? The function y = 140x, where y is the miles traveled in x hours, represents the speed of the first Japanese high speed train The function y = 0.5x + 30, where y represents the total cost in dollars and x represents the miles driven, can be used to find the cost of renting a truck from Ron’s Rental. Is proportional Not proportional Why? Why? Proportional functions must be in the form of y = mx

Proportional functions must pass through the origin 100 90 80 70 60 50 40 30 20 10 Y Which Function Is proportional? The graph In blue with the solid line is proportional X 5 10 15 20 25 30 Proportional functions must pass through the origin

Which chart is a proportional? miles cost hours miles 1 2 3 4 5 10 20 30 20 30 38 45 217 434 651 868

Which function is proportional? The function y = 140x, where y is the miles traveled in x hours, represents the speed of the first Japanese high speed train The function y = 0.5x + 30, where y represents the total cost in dollars and x represents the miles driven, can be used to find the cost of renting a truck from Ron’s Rental. Proportional functions must be in the form of y =

Proportional functions must pass through the ___________ 100 90 80 70 60 50 40 30 20 10 Y Which Function Is proportional? The graph In __________ With a ________ line is proportional X 5 10 15 20 25 30 Proportional functions must pass through the ___________