Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 222 sizes, 444 colors, 777 phrases, and 444 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)

If you're looking for the number of options shed have, it would 8501,194,296, i think. Hope this helps!

Step-by-step explanation:

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:

boxplot