Linear Relationship Word Problems

Which linear function has the smallest rate of change?

• 
• 
• 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which linear function has the greatest rate of change?

• 
• 
• 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• The rate of change of f(x) is less than the rate of change of g(x)

• The rate of change of f(x) is greater than the rate of change of g(x)

• The y intercept of f(x) is equal to the rate of change of g(x)

• The y intercept of f(x) is greater than the rate of change of g(x)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

Given the following functions:

y=3x - 4 and 3y=x - 12

What is the difference in the values of the y-intercepts?

• 8

• -16

• 4

• 0

Tags

CCSS.HSF-IF.C.7A

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

Given the following functions:

y =2x + 3 and -6x +2y = 12

What is the sum of the slopes?

• 8

• 5

• 1

• -4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which tree was the tallest when it was first planted?

• Tree A

• Tree B

• Tree C

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

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