Alaine has 1 gallon of paint. she is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep. (1 gallon = 231 in3, 1 inch = 2.54 cm)

5/2.54 - 1.968 inches

10 x 12 x 1.97 = 236.4 cubic inches ( amount tray will hold)

1 gallon = 231 cubic inches so there is more than enough room in the tray

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:

35 is an outlier

step-by-step explanation: