Representing Linear Relationships Using Diagrams

Which of the following descriptions matches the graph shown below?

• initial fee of $100 plus $25 per month

• initial fee of $100 plus $50 per month

• initial fee of $100 plus $75 per month

• initial fee of $25 plus $100 per month

Does this graph represent a proportional or non-proportional relationship?

• Proportional

• Non-Proportional

The graph below shows the temperature of cooling water after it has been taken off a stove. What is the approximate temperature after 4 minutes?

• 70 degrees

• 75 degrees

• 80 degrees

• 85 degrees

Which points would be located on the line?

• (8,0)

• (4,1)

• (0,8)

• (0,2)

Hudson traveled 7.5 miles in his kayak in 3 hours.

Graph the line that best represents the relationship between the time in hours, x, and the distance in miles, y, Hudson traveled if he traveled at a constant speed.

The following table shows the height of water in a tank over time.

Which graph models the relationship?

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1.     A baker is decorating cookies. The baker decorates 10 cookies in 5 minutes. Which two points lie on the line that best represents the relationship between x, the number of minutes the baker decorates, and y, the total number of cookies decorated?

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table?

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A snail moving at a constant rate traveled a distance of 20 inches in an hour. Create a graph to represent y, the number of inches the snail traveled in x hours.

Create the graph that represents this scenario.

Al runs at a constant rate. It takes him 10 minutes to run 2 miles. Identify and graph two points that model the relationship between the total time Al runs and the number of miles he runs.