Linear Relationships

Select all the points that are on the graph of the line 2x + 4y = 20

• (0, 5)

• (0, 10)

• (1, 2)

• (5, 0)

• (10, 0)

For two weeks, the highest temperature each day was recorded in four different cities. Lines ℓ, m, n, and p are graphs of the temperature over time in Lubbock, Memphis, New Orleans, and Phoenix. Which statement is true? Select the correct choice.

• The high temperature in Lubbock increased as time passed.

• The high temperature in Memphis decreased steadily.

• Initially, the high temperature was warmer in Phoenix than in Memphis.

• The high temperature in Phoenix rose faster than the temperature in New Orleans.

Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. The graph shows how long, in minutes, it takes Runner #1 to run d miles. The equation that relates Runner #2’s distance (in miles) with time (in minutes) is: t = 8.5d. Runner #3’s information is in the table. Which of the three runners has the fastest pace?

• Runner # 1

• Runner # 2

• Runner # 3

Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked.

• 
• 
• 
• 
• 

• 4

• 10.75

• 11.75

• 12.75

• 12

• 13

• 14

• 18

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

What is the slope of this equation? 
y = 3x - 4 

• 3

• -4

• 3x

• 4

What is the y-intercept of this equation? 
y = 5x + 8 

• (0, 5)

• (5, 0) 

• (0, 8) 

• (8, 0)