Direct and Inverse Variation

Directions: Plot the other points. The coordinates of the points must be integers.

Point $$A$$   is an element of a direct variation. Plot two points, other than $$A$$  , that are elements of this direct variation. The coordinates of the points must be integers.

In which table does $$y$$  vary directly with $$x$$  ?

This relation is an inverse relation.

$$\left\{\left(-1,8\right),\left(4,-2\right),\left(-2,4\right)\right\}$$  . Which equation represents this relation?

Directions: Plot the other points. The coordinates of the points must be integers.

The graph of the equation representing a direct variation passes through point $$A$$  . Locate one additional point that is on the graph of this equation.

Two relationships are described.

Relationship S: Karen drove 160 miles in 4 hours, and then she drove 80 miles in 2 hours.

Relationship T: Vernon cooked 6 hamburgers in 10 minutes, and then he cooked 9 hamburgers in 15 minutes.

Which statement is true about these relationships?

If y varies directly as x and y = 24, when x = 3, then what is the value of k?