To identify the constant of proportionality from the points given in the graph (1,2), (2,4), and (3,6), we can examine the relationship between the number of sodas and the price.
We can calculate the price per soda by dividing the price by the number of sodas:
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For the first point (1 soda, $2): \[ \text{Price per soda} = \frac{2}{1} = 2 \]
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For the second point (2 sodas, $4): \[ \text{Price per soda} = \frac{4}{2} = 2 \]
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For the third point (3 sodas, $6): \[ \text{Price per soda} = \frac{6}{3} = 2 \]
The constant of proportionality is 2, which means that for every soda purchased, it costs $2.
True statement about the relationship: The price of sodas is directly proportional to the number of sodas purchased, with a constant of proportionality of $2 per soda.
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