The following graphs show some information about boxes of crayons at a store. One of the graphs shows cost in dollars vs. number of crayons in the box, and one of the graphs shows weight in ounces vs. number of crayons in the box.

__________________ vs. number of crayons

Graph of points on coordinate plane, origin O. Horizontal axis, number of crayons, scale 0 to 110, by 10’s. Vertical axis, scale 0 to 12, by 2’s. There are points at: (24 comma 3 point 5), (48 comma 5 point 5), (64 comma 6 point 5) and (96 comma 8 point 5).

_____________________ vs. number of crayons

Graph of points on coordinate plane, origin O. Horizontal axis, number of crayons, scale 0 to 110, by 10’s. Vertical axis, scale 0 to 30, by 5’s. There are points at: (24 comma 4 point 8), (48 comma 9 point 6), (64 comma 12 point 8) and (96 comma 19 point 2).

1. Which graph is which? Give them the correct titles.
2. Which quantities appear to be in a proportional relationship? Explain how you know.
3. For the proportional relationship, find the constant of proportionality. What does that number mean?

Lin and Andre biked home from school at a steady pace. Lin biked 1.5 kilometers and it took her 5 minutes. Andre biked 2 kilometers and it took him 8 minutes. 

1. Draw a graph with two lines that represent the bike rides of Lin and Andre. 
2. For each line, highlight the point with coordinates \((1,k)\) and find \(k\).
3. Who was biking faster?

Match each equation to its graph.

1. \(y = 2x\)
2. \(y = \frac45 x\)
3. \(y = \frac14 x\)
4. \(y = \frac23 x\)
5. \(y = \frac43 x\)
6. \(y = \frac32 x\)

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma the fraction 4 over 5), then rises to point (5 comma 4).

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma the fraction 2 over 3), then rises to point (3 comma 2) and keeps rising.

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma the fraction 4 over 3), then rises to point (3 comma 4) and keeps rising.

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma the fraction 1 over 4), then rises to point (4 comma 1) and keeps rising.  

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma 2), then rises to point (2 comma 4) and keeps rising.

Graph of a line, origin O. Horizontal and vertical axis scale 0 to 5 by 1’s. Line starts at (0 comma 0) and rises to point (1 comma 1 point 5), then rises to point (2 comma 3) and keeps rising.

A semi truck can travel 1,300 miles on 200 gallons of fuel. A train can travel 1,000 miles on 2 gallons of fuel. This graph shows the fuel usage in miles per gallon for the two vehicles.

1. Which line represents the semi truck and which represents the train?
2. Which vehicle uses less fuel to travel the same distance? How can you tell from the graph?

Here are two graphs for the relationship between the time that a water faucet has been on and the amount of water in a bucket.

1. What is the same about the two graphs?
2. What is different about the two graphs?
3. Which graph makes more sense for representing this situation?