constant of proportionality with graphs

Identify all the representations of data that we have been working with this unit. (pick more than one!)

• graphs

• pie charts

• equations

• tables

• venn diagrams

Which graphs are proportional? Select all.

• A

• B

• C

• D

Your dad is filling the family pool with water for the summer. After two hours, the water has reached a depth of 2.5 feet. After three hours, the water level has risen to

 $3\ \frac{3}{4}$  feet.  If the relationship between time and water depth is proportional, the constant of proportionality is ___.

As a school carnival, tickets can be purchased to participate in different activities. The table shows the total cost for different numbers of tickets. What is the constant of proportionality that relates, y the total cost in dollars to x, the number of tickets purchased?

• 4.00

• 0.25

• 1.00

• 0.10

Lenora’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

• $20

• $60

• $70

• $110

Which statement below accurately represents the graph?

• $100 is earned for each hour worked
• $200 earned for every 2 hours worked
  is the unit rate
• $500 is earned for every 8 hours worked
• $300 is earned after working 4 hours

What is the constant of proportionality of the relationship represented by the table above?

• 75
• 0.013
• 1/75
• None of the above

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Josh bought a pizza with eight slices of pizza for $12. What is the cost for 24 slices of pizza?

• $4

• $12

• $36

• $40

In the equation y = 14x, what is the constant of proportionality?

• x

• 14

• y