For the data in the table, does y vary directly with x? If so, write an equation for the direct variation.
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(1 point)
Responses
yes, y = 5x
yes, y = 5x
yes; y = 1/5x
yes; y = 1/5x
No, y doesn't vary directly with x.
No, y doesn't vary directly with x.
yes; y = 10x
To determine if y varies directly with x, we need to check if the ratio of y to x is constant for all values in the table.
For the given options:
- yes, y = 5x: By checking the ratios of y to x, we can see that this equation holds true for all values in the table. The ratio is always 5, which means y varies directly with x.
Therefore, the equation for direct variation is y = 5x.