Proportional Relationships in Tables & Graphs
What is the COP in the equation y=6x
6
Ratio
A comparison of two quantities
Unit Rate
A ratio between different measurements in which the second term is one
A video rental box charges customers $1 per day.
COP is 1 (proportional)
Beverly earns $150 a week for 10 weeks
COP is 15 (proportional)
A jet ski rental charges tourists for $35 per hour.
COP is 35 (proportional)
How can you tell if a TABLE of (x, y) values represents a proportional relationship?
Find all the ratios of y/x. If all the ratios are equivalent, then it's a proportional relationship.?
A rental company charges $80 per day and a one-time fee of $24
Non-proportional
How can you tell if a GRAPH represents a proportional relationship?
The graph must form a straight line AND the line must pass through the origin (0,0).
Proportion
Two ratios that are equal
Proportional relationships have
a graph that goes through the origin.
On a graph, proportional relationships look like.....
a linear function (straight line through the origin).
Is this proportional or not? y=2x + 3
non-proportional
a straight line that does not pass through the point of origin in the graph
non-proportional
Is this equation proportional or not? y=-4x
proportional
Is this proportional or not? x=2y
proportional
a straight line that passes through the point of origin in the graph
proportional
What EQUATION represents a COP of 3.
y=3x
What EQUATION represents a COP of 8
y=8x
In equation form, proportional relationships are written as....
y=kx form.