Proportional Relationships Graphed

Based on the graph, what is the slope (rate of change) of a canoe rental?

• $6 per hour

• $12 per hour

• $24 per hour

• $1 per 12 hours

Write an equation to show the proportional relationship in the graph.

• y=¹/₅₂x

• y=104x

• y=52x

• y=¹/₁₀₄x

Which pizzeria makes more money?

• Pizzeria W

• Pizzeria L

• They both make the same amount

Review: What makes this graph not proportional?

• does not have a constant unit rate/slope

• is not straight line

• does not pass through (0,0)

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes. It takes Kimberly 4 minutes to peel each potato. There is a proportional relationship between the number of potatoes Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y. Graph this relationship. Select two points to draw a line.

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.

• The graph is proportional because it is linear and passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not linear and it does not pass through the origin.

Which graph shows a proportional relationship between x and y? (a)  

• A

• B

• C

• D

Graph the equation

y=3/5x

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes. It takes Kimberly 4 minutes to peel each potato.

There is a proportional relationship between the number of potatoes Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y.

Graph this relationship. Select two points to draw a line.