Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.

Machine B

Step-by-step explanation:

Since, Machine A covers square feet in hours,

Rate at which the Machine A is covering =

                                                                    =

                                                                    = 2.5 square feet per hour

Machine B covers square feet in hours,

Rate at which the Machine B is covering =

                                                                    =

                                                                    =

                                                                    = 3.33 square feet per hour

Therefore, Rate of Machine B is greater.

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: