Part A. 32'1/4÷1/8=258

1 team has 8 people, we currently have 32'1/4 teams, so how many people do we have? We have 258 people.

you can adjust this any way you want. you can say. if we have 258 people, we can make 32'1/4 teams of 8 people. and so on...

Part B.

32'1/4(teams)×8(people per team)=258 people

Part C.

you can explain this from what I said in Part A and Part B.

but 32'1/4 is 1/8 of 258

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:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.