Interpreting Unit Rate as Slope

Ryan buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75. Which graph has a slope that best represents the average cost of the lunches in dollars per lunch?

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An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

• The height of the water increases 20 inches per second.

• The height of the water increases 1 inch per second.

• The height of the water increases 5 inches per second.

• The height of the water increases 2.5 inches per second.

Melanie pays a total of $16.50 for every 6 shirts she has dry cleaned. Which graph models a relationship with the same unit rate?

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Find the unit rate of snowfall in inches per hour. Don't forget to include units in your answer.

Find the slope of the graph using the points (1, 2) and (5, 10). Remember that the slope is the constant rate of change.

Compare the slope of the graph and the unit rate of change in the snow level. What do you notice?

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The point (_____) tells you the slope of the graph and the unit rate of change in the snow level.

Explain how the point (1, 2) is related to the unit rate of change in the snow level and the slope of the line.

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There is a porportional relationship between minutes and cost per minute in dollars. The graph passes trough the point (1, 4.75). What is the slope of the graph?

This graph shows a proportional relationship between time in hours and total cost in dollars. If you were to double all of the y values would there still be a proportional relationship? Explain.

• Yes, time and money are always proportional.

• No, you have to double the x values in order to keep the proportional relationship.

• Yes, if you double all of the y-values the line would still pass through the origin and have a constant unit rate of change it would just have a steeper slope.

• No, if you double all of the y-values the line would no longer pass through the origin and have a constant unit rate of change and it would have a steeper slope.