12 The Proportional Relationship Between The Number Of Gallo…
12
The proportional relationship between the number of gallons of chocolate ice cream and the number of gallons of vanilla ice cream that an ice creamery freezes daily is graphed below.
What does the point (6, 2) represent on the graph?
A.
There are 6 times the number of gallons of vanilla ice cream frozen than chocolate ice cream.
B.
For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.
C.
For every 6 gallons of chocolate ice cream frozen, the ice creamery freezes 2 gallons of vanilla ice cream.
D.
There are always 6 – 2 = 4 more gallons of vanilla ice cream frozen than chocolate ice cream frozen.
The point (6, 2) represents a specific ratio of chocolate ice cream to vanilla ice cream that the ice creamery freezes daily.
From the graph, we can see that the ratio of chocolate ice cream to vanilla ice cream is constant and equal to 1/3. This means that for every 1 gallon of chocolate ice cream frozen, the ice creamery freezes 3 gallons of vanilla ice cream.
Using this ratio, we can determine the amount of vanilla ice cream that the ice creamery freezes when 6 gallons of chocolate ice cream are frozen:
6 gallons chocolate ice cream x (3 gallons vanilla ice cream/1 gallon chocolate ice cream) = 18 gallons vanilla ice cream
Therefore, the point (6, 2) represents the fact that the ice creamery freezes 6 gallons of chocolate ice cream and 18 gallons of vanilla ice cream daily, maintaining a ratio of 1/3 (or 2/6) of chocolate ice cream to vanilla ice cream.
So the correct answer is B: For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.
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