Modeling Linear Relationships

Determine the rate of change for the graph above.

• 100/25
• 2/1
• 20/0
• 40/10

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

Which situation could match the depicted graph?

• The rate of change is a loss of one gallon each hour
• The rate of change is an increase in temperature related to time
• The rate of change describes gas mileage related to engine size
• The rate of change is a constant 25 miles per hour

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.LE.A.1

What is the way to describe the rate of change?

• Number of units of electricity per cost
• Cost per number of units of electricity

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

What is the rate of change for this situation?

• There are 660 costs and 600 units of electricity
• The cost is $100 for every 110 units
• The cost is $110 for every 100 units

Tags

CCSS.HSS.ID.C.7

The graph represents the different rates Sam and Kim hiked. Use the legend to determine who hiked at a faster pace.

• Kim hiked at a faster rate.
• Sam hiked at a faster rate.
• They hiked at the same rate.
• Their rates cannot be determined from the graph.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Kim traveled 6 miles in two hours. Which line represents Kim?

• Dashed Blue
• Solid Black

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Based on the table, determine the rate of change for the situation.

• There are 10 candles burning for 10 hours.
• The candle starts at 10 inches tall and after 10 hours it is burned out.
• For every hour that goes by, the candle loses an inch in height.
• The candle burns an inch every hour.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Determine the rate of change. What is the cost for a dozen pounds?

• $12
• $20
• $24
• $30

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

What is the equation for the Taxi Cab situation?

• y = .3x
• y = x + .3
• y = .3x + 1
• y = .3x - 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSS.ID.C.7

Determine the equation of the line based on the graph.

• y = -2x + 1
• y = -x + 2
• y = 2x + 1
• y = -2x + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7