Proportional Relationships, Graphs and Coordinates

The graph below represents how many pencils Tucker used. Select the equation that models this relationship.

• y=10x

• y=5x

Which graph shows a proportional relationship between x and y, passes through (1, 2) and has a slope of 2?

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A faucet fills a bathtub at a constant rate of 4 gallons per minute. If y gallons of water are in the bathtub after x minutes, which of the following equations should be graphed to represent this relationship?

• 4y=x

• y=4x

• y=2x

• y=x+2

How can you find the unit rate from a line on a graph that goes through the origin?

• Use the x-coordinate and y-coordinate from tables, graphs, or slope to find the constant rate.

• Use the cross product to find the slope.

How does graphing relationships help you determine whether the relationship is proportional or not?

• The graph of a proportional relationship must have a straight line.

• The graph of a proportional relationship must pass through the origin.

• the graph of a proportional relationship must have a straight line and pass through the origin.

• None of the above.

How can you show two objects are proportional? (Select all that apply)

• The ratios are equal.

• The rate is not equal to the slope

• The ratios are constant

• The slope is proportional with respect to all x and y coordinates.

What makes two quantities proportional?

• Proportional relationships do not have constant ratios.

• Proportional relationships have constant ratios while non-proportional relationships do not.

Which of the following is NOT a true statement about proportional graphs.

• A proportional graph will pass through the origin.

• A proportional graph will be a straight line.

• A proportional graph will have a constant rate of change.

• A proportional graph will be curved

The equation y = -9x is proportional?

• True

• False

Is the following graph proportional?

• Yes

• No