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?

(a)  

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 (a)   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