Writing A farmer recently sold a large plot of land. The sale decreased his total acreage by 12%. Let X be the original acreage. Find two equivalent expressions that will give the new

acreage Use pencil and paper. Use the expressions to describe two ways to find the new

acreage.

Which two expressions will give the new acreage?

A 12x

B. 0.88x-0.12

C. 0.12%

D. 0.88x

E. x-0.12x

F x-12x

Step-by-step explanation:

Let X be the initial amount for the plot of land. If the sale decreased his total acreage by 12%, the decrement will be expressed as 12% of the initial amount of land as shown;

12% of X

= 0.12x

The new acreage will be the difference between the initial amount of land and the decrement.

New acreage = Initial amount - decrement

New acreage = X-0.12X

New acreage = 0.88X

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: