Proportional Relationships Equations, Tables, and Graph

Which correctly describes how to graph the equation shown below?

• Start with a point at (1,4). Then go up 1 and up 4 to the right.

• Start with a point at (1, 4). Then go up 4 and 1 to the right.

• Start with a point at (0, 0). Then go up 4 and 1 to the right.

• Start with a point at (0, 0). Then go up 1 and 4 to the right.

Select ALL of the points that would be in the solution set of the function shown below.

• (2,5)

• (5,2)

• (0,0)

• (4,10)

• (10,4)

On Friday, Jessica babysat for 3 hours and earned $27.  On Saturday, Jessica babysat for 6 hours and earned $54.  On Friday, Jessica babysat for 7 hours and earned $63.  Write an equation to represent her earnings if x represents hours and y represents earnings.

• y=3x

• y=9x

• y=27x

• y=16x

If it costs a family of four $38.00 to attend the movies, what is the UNIT RATE of this relationship?

• $9.50

• $34.00

• $42.00

• $152.00

Study each representation.  Choose THREE (3) that are representations of PROPORTIONAL relationships.

• Jonathan went to play video games at the arcade. They charge $1.50 for each game played but do not charge an entrance fee.

• 
• 
• 
• 

Does the table represent a proportional relationship?

• Yes.

• No.

Does this graph represent a proportional relationship?

• Yes

• No

What is the constant of proportionality?

• $3

• $4

• $2

• $9

The table shows a proportional relationship. Which of the following is the equation for the number of cookies, c made with each cup of sugar, s

• s = 12c

• s = 24c

• c = 12s

• c = 24s

Answer explanation

Divide the y value in the ratio by the x value to get the constant.

Remember the top row is the x and the bottom row is the y in the ratio.

Proportional equations are written y=kx where k is the constant of proportionality.

Replace the x and y with variables they represent in the ratio.

Does the table represent a proportional relationship?

• Yes.

• No.