What is the relation between the variables in the equation a=lw? a. a varies directly as lw b. a varies jointly as lw c. a varies inversely as lw d. none of the above

Option b is correct.

The relation between the variables in the equation A=lw is;

A varies jointly as lw.

Explanation:

Variation problems states that involves a simple relationships or formulas, involving one variable being equal to one term.

Joint variation: If y varies jointly with respect to a and b,then the equation will be of the form y = kab where k is the constant.

Given the equation: A = lw.

Since, this equation would be the formula of area of rectangle with length l and width w.

If we change the width(w) of the rectangle, then the area changes(A),

Similarly, if we change the length(l) of the rectangle then the area(A) will also change.

Therefore, by the definition of Joint variation;

We can say that the area(A) of the rectangle varies jointly with the length and the width of the rectangle i.e,  A varies jointly as lw.

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.