Adelivery person uses a service elevator to bring boxes of books up to an office. the delivery person weighs 180 lb and each box of books weighs 40 lb. the maximum capacity of the elevator is 730 lb. how many boxes of books can the delivery person bring up at one time?

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:

9 x 8 divided by (5-3)=36