Interpreting Unit Rate as Slope Extend the Math 8.4B

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.

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 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.

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.

Which operations, when performed on the y-values, would preserve the proportional relationship?

• Multiplication (doubling)

• Division

• Adding

• Subtracting

Tags

CCSS.HSF-LE.A.1B