1. Proportional vs. Non-Proportional

2. Which chart is a proportional?
miles cost
hours
miles 5 10 20 30 20 30 38 45
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

3. 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

4. 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
Proportional functions must pass through the origin

5. Which chart is a proportional?
miles cost
hours
miles 5 10 20 30 20 30 38 45

6. 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 =

7. 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
Proportional functions must pass through the ___________