Which explains whether or not the values in the table represent a direct variation? x 4 6 10 20 y 1 1.5 2.5 5 the table represents a direct variation because the values are proportional. the table represents a direct variation because the values are nonproportional. the table does not represent a direct variation because the values are proportional. the table does not represent a direct variation because the values are nonproportional.

Option A is correct.

The table represents a direct variation because the values are proportional.

Step-by-step explanation:

The direct variation says that:

then; the equation is of the form : where k is the Constant of Variation.

Consider any values of x and y from the table, to solve for k;

Let x = 10 and y = 2.5

then;

Divide both sides by 10 we have;

Then the equation becomes:

Therefore, the table represents a direct variation because the values are proportional.

A The table represents a direct variation because the values are proportional.

Step-by-step explanation:

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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