Interpreting Slope as Unit Rate

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

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

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

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.

This graph shows a proportional relationship between time in hours and total cost in dollars. If you were to divide all of the y values by 10 would there still be a proportional relationship? Explain.

• Yes, time and money are always proportional.

• No, you have to divide all of the x values by 10 in order to keep the proportional relationship.

• Yes, if you divide all of the y-values by 10 the line would still pass through the origin and have a constant unit rate of change the slope would be less steep.

• No, if you divide all of the y-values by 10 the line would no longer pass through the origin and have a constant unit rate of change and it the slope would be less steep.

This graph shows a proportional relationship between time in hours and total cost in dollars. If you were to subtract 5 from all of the y values would there still be a proportional relationship? Explain.

• Yes, time and money are always proportional.

• No, you have to subtract 5 from all of the x values in order to keep the proportional relationship.

• Yes, if you were to subtract 5 from all of the y values the line would still pass through the origin and have a constant unit rate of change the slope would be the same.

• No, if you were to subtract 5 from all of the y values the line would no longer pass through the origin however it would still have a constant unit rate of change.

Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time as a unit rate. The chair rises _______ feet every second.

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.

What is the unit rate of water passing over the dam?