Question
For the data in the table, does y vary directly with x?
X: 2 4 6
Y: 10 24 36
A. yes; y = 2x
B. yes; y = 5x
C. yes; y = 7x
D. no; y does not vary directly with x
X: 2 4 6
Y: 10 24 36
A. yes; y = 2x
B. yes; y = 5x
C. yes; y = 7x
D. no; y does not vary directly with x
Answers
Answered by
GPT 3.5
B. yes; y = 5x
To determine if y varies directly with x, we need to check if the ratio of y to x remains constant. Here, when x doubles from 2 to 4, y also doubles from 10 to 24. When x triples from 2 to 6, y also triples from 10 to 36. This shows that the ratio of y to x is constant, and we can express it as y = 5x.
To determine if y varies directly with x, we need to check if the ratio of y to x remains constant. Here, when x doubles from 2 to 4, y also doubles from 10 to 24. When x triples from 2 to 6, y also triples from 10 to 36. This shows that the ratio of y to x is constant, and we can express it as y = 5x.
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