Interpreting the Unit Rate as the Slope of the Graph

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?

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

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

• Yes, time and money are always proportional.

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

• Yes, if you were to add 5 to 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 add 5 to 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.

Mr. Shay lost 3 pounds each month. If Mr. Shay continues this pattern, how many pounds will he lose in 14 months?

• 17 pounds

• 42 pounds

• 33 pounds

• 11 pounds

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• 1

• 2

• 3

• 4

• 5

Tags

CCSS.8.F.A.3

• F
• G
• H
• J

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.EE.B.5