Answer:
y = 30
Explanation:
Given y varies directly as x and (x, y) = (2, 10), you want to know y when x = 6.
Direct variation
The direct variation means that when x is multiplied by 3 to get from 2 to 6, the value of y will also be multiplied by 3, giving 3·10 = 30.
y is 30 when x = 6.
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Additional comment
The constant of variation is y/x = 10/2 = 5. This means the equation for the relation is ...
y = 5x
When x=6, this is y = 5·6 = 30.
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