Salma is filling her water jugs with spring water at the supermarket. the above equation gives the empty space in her jugs, vvv, in us gallons, after ttt minutes at a constant fill rate. how many minutes will it take to fill the jugs?

6.4 minutes ( or 6 minutes and 24 seconds)

Step-by-step explanation:Filling up the jug means the empty space is 0, hence V = 0.

We plug in 0 into V and solve for t to get the time required to fill it up:

Hence it will take 6.4 minutes to fill up the jugs.

Note: 0.4 minutes in seconds is   seconds

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: