The length of rectangular picture is 3 times as long as the width. If the area of the picture is 147 square inches, find the length and width of the picture.

l= 21 w=7

Step-by-step explanation:

l=3w

147=(3w)×w

147=3w^2

49=w^2

7=w

so now we have w=7. Plug that in to find l...

l=3w

l=3×7

l=21

360 different combinations

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: