Proportional Relationships and Equations from Graphs

Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph.

Select all TRUE statements.

• 5 gallons of water filled in 12 seconds.

• 1 gallon of water filled in 2.2 seconds.

• It takes 2.4 seconds to fill 1 gallon.

• It takes 18 seconds to fill 7.5 gallons.

Is vehicle u or v traveling at a faster rate?

• Vehicle u is traveling faster than vehicle v

• Vehicle v is traveling faster than vehicle u

Select all tables that show a proportional relationship.

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Alex drove his car at a constant speed. He drove 1 mile in 1.5 minutes.

Select all equations that represent this problem if miles is x and time is y.

• y=1x

What is the constant of proportionality between the number of pages read and the number of hours spent reading?

• 45 pages per hour

• 90 pages per hour

• 135 pages per hour

• 270 pages per hour

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

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