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.HSS.ID.C.7

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.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

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

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

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!

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

• Yes

• No

• Maybe

• Who cares?

Tags

CCSS.HSS.ID.C.7

Slope =

• Rise over Run

• Change in y over change in x

• (y₂ - y₁) / (x₂ - x₁)

• All are correct

Tags

CCSS.HSS.ID.C.7

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.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• 10

• -10

• -0.1

• 0.1