Proportional Relationships and Direct Variation

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

What is the unit rate in this proportional relationship?

• 60 miles/1 hour

• 120 miles/ 2 hours

• 1 mile/ 1 hour

What is the direct variation equation for this graph?

Is this table proportional?

• Yes

• No

Is this an example of a proportional or non-proportional linear situation?

• Proportional

• Non-Proportional

Which of the following statements is true? SELECT ALL THAT APPLY

• The constant is 60 miles for every 1 hour.

• This demonstrates a direct variation between distance traveled and time.

• This demonstrates a proportional relationship.

• The graph shows that in 4 hours, 240 miles have been traveled.

• The graph shows that in 180 hours, 3 miles have been traveled.

• A

• B

• C

• D

The number of baskets Nikki can make varies directly with the amount of time she spends making the baskets. She can make 4 baskets in 1/2 hour.

How many baskets can Nikki make in 5 hours?

Mathematical Equivalence

ON

Which of the following statements is true? SELECT ALL THAT APPLY

• The constant is 60 miles for every 1 hour.

• This demonstrates a direct variation between distance traveled and time.

• This demonstrates a proportional relationship.

• The graph shows that in 4 hours, 240 miles have been traveled.

• The graph shows that in 180 hours, 3 miles have been traveled.

Which is an equation for the direct variation that includes the given data?
  x     y
12   3
20   5
40   10

• y = x - 4

• y = 4x

• y = x - 9

• y = x/4