Determine whether the equation represents a direct variation. If it does, find the constant of variation.

two y equals five x plus one.
(1 point)
Responses

Not a direct variation
Not a direct variation

Direct variation, constant of variation is five-halves
Direct variation, constant of variation is Image with alt text: five-halves

Direct variation, constant of variation is two-fifths
Direct variation, constant of variation is Image with alt text: two-fifths

Direct variation, constant of variation is one minus two-fifthsDetermine whether the equation represents a direct variation. If it does, find the constant of variation.

two y equals five x plus one.
(1 point)
Responses

Not a direct variation
Not a direct variation

Direct variation, constant of variation is five-halves
Direct variation, constant of variation is Image with alt text: five-halves

Direct variation, constant of variation is two-fifths
Direct variation, constant of variation is Image with alt text: two-fifths

Direct variation, constant of variation is one minus two-fifthsDetermine whether the equation represents a direct variation. If it does, find the constant of variation.

two y equals five x plus one.
(1 point)
Responses

Not a direct variation
Not a direct variation

Direct variation, constant of variation is five-halves
Direct variation, constant of variation is Image with alt text: five-halves

Direct variation, constant of variation is two-fifths
Direct variation, constant of variation is Image with alt text: two-fifths

Direct variation, constant of variation is one minus two-fifthsV

Direct variation, constant of variation is five-halves.

The equation "two y equals five x plus one" represents a direct variation. The constant of variation can be determined by comparing the equation to the standard form of a direct variation equation, which is y = kx.

In this case, we can see that the equation is in the form of y = mx + b, where m = 5 and b = 1. The constant of variation, k, is equal to the coefficient of x in a direct variation equation. Therefore, the constant of variation for this equation is 5/2 or five-halves.