In which table does Y directly vary with X?; Does y vary directly with X if it does what is an equation for the direct variation?; How do you show that y varies directly as t?; What happens to the value of y if the variable x is doubled?

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06-12-2022
Biology

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In which table does Y directly vary with X?; Does y vary directly with X if it does what is an equation for the direct variation?; How do you show that y varies directly as t?; What happens to the value of y if the variable x is doubled?

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RajarshiG RajarshiG · Answer 1 · 2022-12-17T10:25:45-05:00

A table in which Y directly varies with X is a linear table. An equation for the direct variation would be y = mx + b, where m is the slope and b is the y-intercept.

To show that y varies directly as t, you would need to plot the points (x, y) on a graph to determine the slope of the line. If the variable x is doubled, the value of y will also double. When one size varies directly with respect to another size, it is called direct variation. This means that increasing or decreasing the amount of one will proportionally increase or decrease the amount of the other. The direct variational equation is given as y = kx. where y and x are the two variables and k is the constant of proportionality.

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