Linear Relationships Quick Check

• c = 7.95t

• c = 8.95t

• c = 7.95 + 1.00

• c = 7.95 + 1.00t

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?

• F. x | 1 | 2 | 4 | 5 y | 60 | 48 | 24 | 12

• G. x | 0 | 2 | 4 | 5 y | 60 | 48 | 24 | 12

• H. x | 1 | 3 | 4 | 5 y | 48 | 24 | 12 | 0

• J. x | 1 | 2 | 3 | 4 y | 12 | 24 | 36 | 48

• k = 85

• k = 95

• k = 190

• k = 125

The table below shows the relationship between the number of miles traveled, x, and the number of gallons of gas used, y. Which of the following equations best represents the relationship? x | 35 | 70 | 105 | 140 | 175 y | 1 | 2 | 3 | 4 | 5

• 35 = 1x

• y = 1/35x

• y = 35x

• y = 3.5x

The total number of eggs, y, contained in x cartons can be represented by the equation y = 12x. Which of the following graphs best represents this situation?

• A

• B

• C

• D

Which of the following equations best represents the relationship between x and y?

• y = -2x

• y = 2x

Marcy has earned 18 rewards points at the movie theater and will earn 3 points for each additional movie. Which equation represents the relationship between y, the total points, and x the number of movies?

• y = 18 + 3x

• y = 3x - 18

• y = 18 - 3x

• y = 18x + 3

The graph shows the amount of money that Janice saves each week from her summer job. Which equation best represents the graph?

• y = 100x + 200

• y = 200x + 100

• y = 200x + 150

• y = 150x + 200

The table represents some points on a linear function. Which situation can be modeled by this function?

• A. The cost of buying x number of concert tickets for $76 each

• B. The number of pages y that can be read in 76 minutes

• C. The number of gallons of fuel x that can be used to travel 228 miles

• D. The amount of money spent from a savings account with y dollars.

Which graph best represents the equation y = 1.5x - 2?

• F

• G

• H

• J