Graphs of Proportional Relationship

What does the point (0, 0) mean in the context of the situation?

• When 0 cookies are purchased $0 are spent

• The beginning of the graph

What is the unit rate for the cost of cookies?

Mathematical Equivalence

ON

Select all that apply:

If two sets of data are proportional to one another:

• the value of every ratio y/x will not be equal

• the graph that represents the data will be a straight line that passes through the origin.

• the graph will contain the points (0, 0) and (1, r) where r is the unit rate.

• there will exist a constant, k, for which you can replace in the equation y = kx

Mickey is traveling at a constant speed on his bicycle. The graph shows how d, the total distance traveled, depends on t, the time in hours.
What can be concluded from the information on the graph?

• Mickey is riding at a speed of 11 miles per hour.

• Mickey rode a total of 12 miles.

• Mickey rode a total of 11 miles.

• Mickey is riding at a speed of 12 miles per hour.

The graph shows a proportional relationship between

x and y.

Which equation describes this relationship?

• y = 0.4x

• y = -30x

• y = 2.5x

• y = 30x

The graph shows how the cost of rice depends on the amount purchased.

Which equation describes the relationship between x, the amount purchased in pounds, and y, the cost in dollars?

• y = 1.6x

• y = 8x

• y = 0.625x

• y = 3x

The graph shows how the amount of money Katya earns depends on the time she works.

How much does Katya earn per hour? (unit rate)

• $16.00 per hour

• $6.25 per hour

• $20.00 per hour

• $1.60 per hour

Match the correct equation to the graph

• y = 4x

• y = 9x

• y = 10x

• y = 3x

Which graph shows a proportional relationship between x and y?

• 
• 
• 
• 

The table shows how the length of a fish changes over time.
Which equation represents the relationship between x, the time in years, and y, the length in centimeters?

• y = 4.5x

• x = 4.5y

• x = 9y

• y = 9x