Linear Relationships

Does this graph show a proportional relationship?

• Yes, because it is linear

• Yes, because it is linear and goes through the origin.

• No, because it is not linear

• No, because it does not go through the origin.

Sally will earn $30 for every 5 hours that she babysits. Which of the following equations can be used to represent the proportional relationship?

• y = 1/6x +30

• y = 6x

• y = 5x + 6

• y = 6x +5

What can you use to represent linear relationships?

• verbal descriptions

• equations

• graphs

• tables

• all of the above

Which graph shows a proportional relationship between x and y?

• F

• G

• H

• J

Which line shows a proportional relationship between x and y?

• Line L

• Line M

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?

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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?

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

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

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

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

Burger Town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra topping, t. Which of the following equations best represents the cost, c, of a cheeseburger?

• c = 7.95t

• c = 8.95t

• c = 7.95t + 1.00

• c = 7.95 + 1.00t

2. 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?

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