Module 5 Creating Linear Equations

A kayak rental service charges $5 for a life jacket and $7.50 per hour to rent a kayak. What is the correct equation that represents this situation?

• y = 5x + 7.50
• y = - 7.50x - 5
• y = 7.50x + 5
• x = 7.50y + 5

Franklin's faucet was leaking water, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was leaking. His data is shown in the table. 
Find the equation Franklin can use for his leaky faucet.

• y = 1.5x + 2
• y = 2x + 1.5
• y = 2x
• y = 1.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph shows the value of a machine over a 10-year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars, over this 10-year period?

• y = - 0.002x + 2,500
• y = - 500x + 8,000
• y = 500x + 8,000
• y = 0.002x + 2,500

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which scatterplot suggests a linear relationship between x and y?

• A
• B
• C
• D

Tags

CCSS.8.F.A.3

The graph shows the relationship between the number of hours a paddleboat is rented and the total cost of the rental. Write and equation for the relationship, then use the equation to predict how much it would cost to rent a paddleboat for 5.5 hours.

• x = 20y + 30; $140
• y = 30x + 20; $100
• y = 20x -30; $150
• y = 20x + 30; $140

Tags

CCSS.8.EE.B.5

A line passes through the points (-3, -1) and (-5, 4). What is the slope of the line?

• m = - 5/4
• m = - 5/2
• m = 2/5
• m = 1/4

Tags

CCSS.8.EE.B.5

Which of the following equations best fits the data shown in the table above?

• y = - 2x + 6
• y = 2x - 6
• y = 2x + 6
• y = 6x + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which function is best represented by this graph?

• y = 1/2x + 6
• y = - 2x + 3
• y = 2x + 6
• y = - 1/2x + 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which statement compares the data shown on these two graphs?

• Both graphs are linear
• Neither graph is linear
• Graph A is linear; Graph B is not linear
• Graph B is linear; Graph B is not linear

Tags

CCSS.8.F.A.3

Two samples of bivariate data are shown in the graphs above. Which sample suggests a nearly constant ratio (y/x) for all the data points?

• Sample #1, because the scatter plot suggests no relationship between x and y
• Sample # 2, because the scatter plot suggests no relationship between x and y
• Sample # 1, because the scatter plot suggests a linear relationship between x and y
• Sample # 2, because the scatter plot suggests a linear relationship between x and y

Tags

CCSS.HSF-LE.A.1B