Constant Rate of Change and Slopes

What is the constant rate of change?

• When the rate of change is constant or the same between any two points in a linear relationship

• The amount of time it takes to solve a problem

• The rate at which the U.S. dollar is worth in comparison to other countries

• The rate at which electricity flows through objects

Tags

CCSS.HSF-LE.A.1B

Determine whether the relationship between the two quantities described in the table is linear. If so, find the constant rate of change.

• Not a linear relationship.

• The constant rate of change is $10/hour

• The constant rate of change is 0.1 hours/dollar

Tags

CCSS.HSF-LE.A.1B

Determine whether the relationship between the two quantities described in the table is linear. If so, find the constant rate of change.

• Not a linear relationship

• The constant rate of change is 8 magazines per student.

• The constant rate of change is 18 magazines per student.

• The constant rate of change is 2 magazines per student

Tags

CCSS.HSF-LE.A.1B

Determine whether a proportional relationship exists between the two quantities shown in the graph. [hint: a relationship is proportional if it passes through the point of origin, (0,0)]

• I have no idea.

• No, it is not proportional

• Yes, it is proportional

• I just want cheesecake.

Tags

CCSS.8.EE.B.5

Determine whether the relationship between the two quantities described in the graph is linear. If so, find the constant rate of change.

• The constant rate of change is $20 per ticket.

• It is not linear.

• The constant rate of change is $5 per ticket.

• The constant rate of change is 0.2 tickets per dollar.

Tags

CCSS.HSF-LE.A.1B

Determine whether there is a linear relationship between the two quantities presented in the table. If so, what is the constant rate of change?

• The constant rate of change is 4.3 calories per minute

• The constant rate of change is 3.4 calories per minute.

• There is no linear relationship.

• Just give me an A already!

Tags

CCSS.HSF-LE.A.1B

Are "slope" and "constant rate of change" the same?

• Yes

• No

• Maybe

• Who cares?

Tags

CCSS.HSF-LE.A.1B

Slope =

• Rise over Run

• Change in y over change in x

• (y₂ - y₁) / (x₂ - x₁)

• All are correct

Tags

CCSS.8.EE.B.5

Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet

• 1/3

• 3

• -1/3

• -3

Tags

CCSS.8.EE.B.5

Find the slope of a mountain that descends 100 meters for every horizontal distance of 1,000 meters

• 10

• -10

• -0.1

• 0.1

Tags

CCSS.8.EE.B.5