Ms. Boucher has a cactus at home that grows 4.5 centimeters (cm) every week. It is now 12 cm. In how many weeks will it reach 48 cm? 1) Variable for the unknown
2) Equation that represents the WORD PROBLEM
3) Solve for the unknown, include label

1. 4.5x

2. 4.5x+12=48

3. x=8

Step-by-step explanation:

4.5(8)+12=48

36+12=48

48=48

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: