Tables Equations and Graphs

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

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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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On a multiplication facts test Samantha had to know the facts from 1-12. She earned 3 points for every fact she solved correctly and used a 10 extra points ticket that she previously received from her teacher. Which equation can be used to find p, the total number of points Samantha earned for solving f facts correctly?

• p = f (12 - 3)

• p = 3f + 10

• p = 3 (12 - f)

• p = 10 + f

A student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Which equation shows this relationship? Let x = number of weeks.

• y = 3.22x

• y = 5x

• y = 23x

• y = 115x

If a line was drawn through the points, why would this line show a proportional relationship?

• It is not curved

• It is a vertical line

• It connects all the dots

• It goes through the origin

What is the constant of proportionality for the relationship on the graph?

• 3.5

• 7

• 8

• 28

Harriet uses 3/4 of a cup of brown sugar per batch of cookies she makes. Which graph shows the relationship between the batches of cookies (x) and the cups of brown sugar needed (y)?

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Which equation matches the graph?

• y = 1/3x + 3

• y = 3x

• y = x +3

• y = 3x + 3

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