Proportional Relationships in Tables & Graphs

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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.


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