Aglass tabletop is supported by a rectangular pedestal. if the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop

When adding make sure you add 4 sides worth of calculations. You have to consider the left and right side (for length) and front and back for the width.

The solution for this problem is:

Side 1 (8+36+8) 
+ 
Side 2 (8+48+8) 
+ 
Side 3 (8+36+8) 
+ 
Side 4 (8+48+8) 
= 232 

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: