If the values in the table below model a proportional relationship, what is the equation for the function?
2 answers:
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Answer:
200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Step-by-step explanation:
Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.
∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.
i.e. 3x + 2y = 700 --------(1),
Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.
i.e. x + 3y = 350 ---------(2),
Equation (1) - 3 × equation (2),
We get,
2y - 9y = 700 - 1050
-7y = -350
From equation (1),
3x + 2(50) = 700
3x + 100 = 700
3x = 700 - 100
3x = 600
Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.