Linear Relationships Quick Check

Which of the statements about the graph below is true?

• The graph is non-linear and has an equation of

  y = -x + 18.

• The graph is linear and has an equation of

  y = -x + 18.

• The graph is linear and has an

  equation of

  y = -2x + 18.

• None of the above statements are true.

Which of the following gives an example of an equation that is non-linear?

The table shows the amount that a catering company charges based on the number of people at an event. Which of the following equations shows the relationship between c, the amount the company charges based on p, the number of people at the event?

• c = 16p

• c = 75p + 13

• p = 13c + 75

• c = 13p + 75

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher hourly rate to walk their pets than what is shown in the table?

• y = 7.25x + 20

• y = 8x + 10

• y = 7.5x

• y = -10x + 15

Find the slope and the y-intercept of the linear function.

Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.

• Allen was given 44 cards and he buys 36 cards

  each month.

• Allen was given 14 cards, and he buys 15 cards

  each month.

• Allen was given 20 cards, and he buys 12 cards

  each month.

• Allen was given 24 cards, and he buys 10 cards

  each month.

Write an equation in slope-intercept form of the line that passes through the points (4, 13) and (8, 18).

• y = 2.5x + 3

• y = 1.5x + 7

• y = 2x + 5

• y = 1.25x + 8

Which table shows a relationship between x and y where y is always equal to 8 less than the product of x and 3?

• 
• 
• 
• 

Zane owes his dad money for his cell phone that he lost. So far, Zane has paid his dad $23, and he will pay his dad an additional $45 each month until he has repaid him for the phone. Which equation shows the relationship between m, the number of months that Zane has been making payments and t, the total amount he has paid his dad?

• t = 45m + 23

• m = 45t + 23

• t = 23m + 45

• t = 68m

Preston needs to write an equation in slope-intercept form to represent the relationship between x and y in the table. What will be the value of the y-intercept in his equation?