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Question

Erik wants to make lemonade for his friends. He used 4 tablespoons of lemon juice for 6 glasses of lemonade. Then he uses 8 tablespoons of lemon juice for 12 glasses.
Which of the following is correct for the context given?

P. The number of tablespoons used and the number of glasses are in a proportional relationship.
Q. The number of tablespoons used and the number of glasses are not in a proportional relationship.


A
P and R
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B
Q and R
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C
P and Q
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D
P,Q, and R
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Solution

The correct option is A P and R
4 tablespoons of lemon juice: 6 glasses of lemonade
8 tablespoons of lemon juice:12 glasses of lemonade

We know that,
A proportion is a statement that two ratios are equivalent to each other.
Let us check.

64=32

128=32


The ratios are equal, so the ratios form a proportion.
Therefore, they are given in proportional relation. Option P is correct and Option Q is incorrect.

Let us check Option R.
We know that,

The graph of a proportional relationship between x and y is a straight line passing through the origin (0,0).

We could see that the graph is a straight line passing through the origin and the points marked in the graph (4,6) and (8,12) are correct.

Therefore, Option R is also correct.

Option D is correct.


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