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How would you find whether this relationship is proportional or not?

How would you find whether this relationship is proportional or not?-example-1
User EmJeiEn
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1 Answer

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Answers:

a. Yes, it is proportional

b. y = (1/20)x

The slope 1/20 means that when the volume increase by 20 gallons the height increases by 1 inch.

c. 12.5 inches

Step-by-step explanation:

Part a.

The relation is proportional is the graph is a straight line that passes through the point (0, 0)

Since this graph satisfies this condition, the given relationship is proportional.

Part b.

The equation for a proportional relationship has the form

y = mx

Where m is the slope. Since the line passes through the point (20, 1), the slope is equal to

m = 1/20

So, the equation of the line is

y = (1/20)x

Where the slope 1/20 means that when the volume increase by 20 gallons the height increases by 1 inch.

Part c.

To know the height when the volume is 250 gallons, we need to replace x by 250, so

y = (1/20)x

y = (1/20)(250)

y = 12.5 inches

So, the height of the water will be 12.5 inches.

User Ahmed Eissa
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