Graphing Proportional Relationships
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Equations of Proportional Relationships
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100

What ordered pair represents the origin?

(0, 0)

100

What are 2 ways to tell if a graph is proportional?

The graph is a line

The graph passes through the origin 

100

Is this equation proportional? If so, what is the constant of proportionality? (k)

y = 3x

Yes

k=3

100

Name a radius and a diameter


Radius: OA, OB, or OC

Diameter: AB

100

Is the graph a proportional relationship? Why?

NO 

Does not go through the origin

200

Is this relationship proportional?

No

200

Is this graph proportional? 


YES

200
Is this equation proportional? If so what is the constant of proportionality? (k)


y = 4x + 10 

Not proportional 

200

What are the formulas for circumference and area of circles?

C=pid

A=pir^2

200

Which of the following are true?

A: the diameter and circumference of a circle are proportional

B: the radius and area of a circle are proportional

A: the diameter and circumference of a circle are proportional

300

Write an equation that relates gallons of water used (w) to time (m).

w = 5m

300

Write an equations that represents the proportional relationship between miles and hours.


d = 6/5 x

300

What is the equation of the proportional relationship?

y= 1/6x 

300

What is the Circumference of this circle?

31.4 cm

300

Which table does not show a proportional relationship?

A

400

Write an equation that represents the proportional relationship between strawberries and bananas. Indicate the meaning of each variable.

y = 2.5x

400

How would you label the x-axis and the y-axis?

x-axis: Cups of bananas

y-axis: Cups of strawberries

400

Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Write an equation that represents the distance, d, that Kiran walks in t minutes

d = 1/15 t

400

What is the area of this circle?

50.24 cm2

400

What is the perimeter, rounded to the nearest hundredth, of the figure?

18.71 units

500

The graph shows the cost C in dollars of w pounds of peanuts, a proportional relationship.  Which of the statements is true?

A: 9 pounds of peanuts costs $28.80

B: 5 pounds of peanuts costs $17.50

B: 5 pounds of peanuts costs $17.50

500

The graph shows the cost C in dollars of w pounds of peanuts, a proportional relationship.  Which of the statements is true?

A: 2.5 pounds of peanuts costs $1.

B: 1 pound of peanuts costs $2.50.


B: 1 pound of peanuts costs $2.50.

500

Emma rode her bike at a constant speed. She rode 1 mile in 8 minutes. Write an equation that represents the distance, d, that Emma rides in t minutes.

d = 1/8 t

500

What is the area of the figure below?


13.42 ft2

500

What is the area, rounded to the nearest hundredth, of the figure?

23.07 square units