Aclosed rectangular container with sqaure base is to have a
volumeof 2250 in3. the material for the top and
thebottom of the contiuainer will cost $2 per in2, and
thematerial for the sides will cost $3 per in2. findthe
dimensions of the container of the least cost.

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:

the answer is a

step-by-step explanation: