Comparing Linear Functions

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour
• $5 per hour
• $1 for 6 hours
• $1 for 5 hours

Tags

CCSS.HSF.IF.B.4

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

• $15 per hour
• $2.25 per hour
• $17.25 per hour
• $1 per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company shows a greater rate of change?

• Water's Edge Rafts
• Ryan's Rafts

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change
• A has a greater rate of change than B
• A and B both have negative rates of change
• A has a negative ROC and B has a positive ROC

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?

• y = 25x + 10
• x = 25y + 10
• y = 10x +25
• x = 10y + 25

Tags

CCSS.6.EE.C.9

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the initial value of the following graph?

• (3, 0)
• (0, 3)
• (4, 0)
• (0, 4)

Tags

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.3

Write an equation for the line

• y = 50x
• y = 20x
• y = 0.02x
• y = 0.2x

Tags

CCSS.8.EE.B.5