Linear Relationships

J'quon has 1 pen for every 3 pencils. He graphs this relationship with x representing the number of pens and y representing the number of pencils. Which statement is true about the graph?

• The slope of the graph is 1/3

• The slope of the graph is 3.

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Chaz Randy has 1 chocolate candy for every 2 strawberry waffles. He graphs this situation with x representing the number of chocolate candies and y representing the number of strawberry waffles. Which graph represents this statement and which statement is true? Select two answers.

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• The slope of the graph representing this situation is 1/2.

• The slope of the graph representing this situation is 2.

Jobey Louise has 1 bag of Hot Fries for every 4 bags of Skittles. He graphs this situation with x representing bags of Hot Fries and y representing bags of Skittles. Which graph correctly represents this situation and which statement is true? Select two answers.

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• The slope of the graph representing this situation is 4.

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• The slope of the graph representing this situation is 1/4.

A right triangle is shown on the coordinate plane. Which slopes are equivalent to the slope of the graph?

• 2/3

• 8/14

• 7/4

• 4/7

Two right triangles are graphed on the coordinate plane. Select two answers that represent the slope of the line.

• 4/3

• 3/4

• -3/4

• -6/8

Two right triangles, triangle ABC and triangle CDE, are shown on the coordinate plane.

The corresponding side lengths of triangle ABC and triangle CDE have a 2 to 1 ratio. What is the slope of the line containing the points A and E? Select two correct answers.

• 2/3

• 3/2

• 4/6

• 6/4

Lawrence and Darren each rent a canoe. The cost Lawrence's rental can be represented by the equation y=10x. Darren's rental is shown in the graph. Determine who pays more per hour for the canoe rental and how much each person pays per hour.

• Lawrence pays more per hour.

• Darren pays more per hour.

• Lawrence pays $10 per hour.

• Darren pays $12 per hour.

• Lawrence pays $12 per hour.

Katelyn and Sodnoa are both driving for a vacation. Katelyn's distance per hour is represented by the equation y=45x where x is the number of hours and y is the total distance. Sodnoa's driving is represented in the graph. Who drives at a greater speed per hour and by how much? Select two.

• Katelyn a greater distance per hour.

• Sodnoa drives 92 miles per hour.

• Sodnoa drives a greater distance per hour.

• Katelyn drives 5 miles per hour faster than Sodnoa.

• Sodnoa drives 1 mile per hour faster than Katelyn.

James and Jaden both download music. James's downloads are represented by the equation y=4x where x represents the number of minutes and y represents the total number of songs downloaded. Jaden's downloads are represented in the graph. Select all true statements.

• Jaden downloads more songs per minute than James.

• James downloads more songs per minute than Jaden.

• Jaden downloads 4 songs per minute.

• James downloads 4 songs per minute.

• Jaden downloads 2 songs per minute.

Function A is represented by the equation y=-2x+4. Function B is represented in the table. Which statements are true about functions A and B. Select two.

• Both functions have negative slopes.

• Both functions have positive y-intercepts.

• Function A and B have the same slope.

• Function B has a greater y-intercept than function A.