Writing an Equation for Proportions
Graphs
Proportions
Comparing Unit Rates
Constant of Proportionality
100

What is the slope of a line?

A. The horizontal distance between two points on a line.

B. The vertical distance between two points on a line.

C. The rate at which the y-coordinate changes compared to the x-coordinate between two points on a line.

D. The total distance between two points on a line.

C. The rate at which the y-coordinate changes compared to the x-coordinate between two points on a line.

100

How do you know if a graph is proportional?

It is a straight line and goes through the origin.

100

Marcus' car can go 528 miles on 12 gallons of gas. During a drive last weekend, Marcus used 8 gallons of gas. How far did he drive?

352 miles

100

The graph shows a proportional relationship between the number of miles Marco bikes and the number of hours. What equation relates the distance, y, and the time, x?


y = kx

so,

y = 15x

200

What does the term "Rise over Run" or Rise/Run refer to in mathematics?

A. The difference in the y-coordinates of two points on a line divided by the difference in their x-coordinates.

B. The method of finding the area under a curve.

C. The sum of the x and y-coordinates of a point on a line.

D. The maximum value a line reaches on a graph.

A. The difference in the y-coordinates of two points on a line divided by the difference in their x-coordinates.

200

The graph shows a proportional relationship between the total number of tennis balls and the number of cans. What does the point (2, 6) represent in this situation?


There are 6 tennis balls in 2 cans.

200

In a school, the ratio of boys to girls is 4 to 10. A school contains 350 girls. How many boys are in the school? 

140 boys

200

The graph shows how many sheets of paper a paper-folding machine can fold in a certain number of minutes. What is the constant of proportionality?


150; The machine folds 150 sheets in 1 min.

300

Is the following numbers of flowers proportional? If yes, what would be the equation that relates the number of purple flowers, y, to the number of pink flowers, x?

No


300

Using the graph, what does the point (45,900) mean. 

900 bottles are capped in 45 seconds. 

300

Susan needs to buy her cat some litter box sand. At a store, 6 bags of litter sand costs $24.60. How much would Susan spend on 4 bags of litter sand. 

16.40

300

What is the constant of proportionality?

y=6.25x

6.25

400

Which graph shows that 2 cookies cost $1.50, 6 cookies cost $4.50 and 8 cookies cost $6.00? 

B.

400

What is the constant of proportionality? And what does the constant of proportionality represent in this

 graph?


20

It means there are 20 bottles filled in 1 second. 


400

Sara walked 4/7 mile in 3/4 hour. How fast did she walk, in miles per hour? 

 16/20 miles per hour

400

Compare the two companies below and tell me which company is a better deal. You must show work to prove your answer. 

AT&T is a better deal, it is $24.50 per month and Verizon is $27 per month. 


400

The constant of proportionality is ______ miles per hour. 

490

500

The table shows the number of white and yellow flowers Cara used in 5 different arrangements. What is the equation for the table. 

y=3/2x

500

Which graph has an equation of y=2x?

A.)


500

Elizabeth is making a Risotto recipe that calls for  2/3 cup of Risotto for every  3/4 cup of water. How much water will she need if she uses  1 1/2 cups of Risotto?

1 11/16

500

Dawn used 3.25 cups of flour to make 5 batches of cookies. Steve used 4.7 cups of flour to make 6 batches of cookies. Who used more flour per batch of cookies? 

Steve used more


500

What is the constant of proportionality in the following equation? 

y=3/4x

3/4

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